diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 0453ac4..5537de8 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -103,6 +103,7 @@ jobs:
           - "3.10"
           - "3.11"
           - "3.12"
+          - "3.13.0-alpha - 3.13.0"
         os: [ubuntu-20.04, macos-11]
         exclude:
           - os: macos-11
@@ -178,7 +179,15 @@ jobs:
           python setup.py build_ext -i
           python setup.py bdist_wheel
 
+      - name: Install ExtensionClass and dependencies (3.13.0-alpha - 3.13.0)
+        if: matrix.python-version == '3.13.0-alpha - 3.13.0'
+        run: |
+          # Install to collect dependencies into the (pip) cache.
+          # Use "--pre" here because dependencies with support for this future
+          # Python release may only be available as pre-releases
+          pip install --pre .[test]
       - name: Install ExtensionClass and dependencies
+        if: matrix.python-version != '3.13.0-alpha - 3.13.0'
         run: |
           # Install to collect dependencies into the (pip) cache.
           pip install .[test]
@@ -222,6 +231,7 @@ jobs:
           && startsWith(github.ref, 'refs/tags')
           && startsWith(runner.os, 'Mac')
           && !startsWith(matrix.python-version, 'pypy')
+          && !startsWith(matrix.python-version, '3.13.0-alpha - 3.13.0')
         env:
           TWINE_PASSWORD: ${{ secrets.TWINE_PASSWORD }}
         run: |
@@ -241,6 +251,7 @@ jobs:
           - "3.10"
           - "3.11"
           - "3.12"
+          - "3.13.0-alpha - 3.13.0"
         os: [ubuntu-20.04, macos-11]
         exclude:
           - os: macos-11
@@ -277,7 +288,22 @@ jobs:
         with:
           name: ExtensionClass-${{ runner.os }}-${{ matrix.python-version }}.whl
           path: dist/
+      - name: Install ExtensionClass 3.13.0-alpha - 3.13.0
+        if: ${{ startsWith(matrix.python-version, '3.13.0-alpha - 3.13.0') }}
+        run: |
+          pip install -U wheel setuptools
+          # coverage has a wheel on PyPI for a future python version which is
+          # not ABI compatible with the current one, so build it from sdist:
+          pip install -U --no-binary :all: coverage
+          # Unzip into src/ so that testrunner can find the .so files
+          # when we ask it to load tests from that directory. This
+          # might also save some build time?
+          unzip -n dist/ExtensionClass-*whl -d src
+          # Use "--pre" here because dependencies with support for this future
+          # Python release may only be available as pre-releases
+          pip install --pre -U -e .[test]
       - name: Install ExtensionClass
+        if: ${{ !startsWith(matrix.python-version, '3.13.0-alpha - 3.13.0') }}
         run: |
           pip install -U wheel setuptools
           pip install -U coverage
diff --git a/.manylinux-install.sh b/.manylinux-install.sh
index d74f6e0..fd62ab3 100755
--- a/.manylinux-install.sh
+++ b/.manylinux-install.sh
@@ -28,6 +28,7 @@ yum -y install libffi-devel
 
 tox_env_map() {
     case $1 in
+        *"cp313"*) echo 'py313';;
         *"cp37"*) echo 'py37';;
         *"cp38"*) echo 'py38';;
         *"cp39"*) echo 'py39';;
@@ -41,14 +42,20 @@ tox_env_map() {
 # Compile wheels
 for PYBIN in /opt/python/*/bin; do
     if \
+       [[ "${PYBIN}" == *"cp313"* ]] || \
        [[ "${PYBIN}" == *"cp311"* ]] || \
        [[ "${PYBIN}" == *"cp312"* ]] || \
        [[ "${PYBIN}" == *"cp37"* ]] || \
        [[ "${PYBIN}" == *"cp38"* ]] || \
        [[ "${PYBIN}" == *"cp39"* ]] || \
        [[ "${PYBIN}" == *"cp310"* ]] ; then
-        "${PYBIN}/pip" install -e /io/
-        "${PYBIN}/pip" wheel /io/ -w wheelhouse/
+        if [[ "${PYBIN}" == *"cp313"* ]] ; then
+            "${PYBIN}/pip" install --pre -e /io/
+            "${PYBIN}/pip" wheel /io/ --pre -w wheelhouse/
+        else
+            "${PYBIN}/pip" install -e /io/
+            "${PYBIN}/pip" wheel /io/ -w wheelhouse/
+        fi
         if [ `uname -m` == 'aarch64' ]; then
           cd /io/
           ${PYBIN}/pip install tox
diff --git a/.meta.toml b/.meta.toml
index 1e6ae6e..bfd5af9 100644
--- a/.meta.toml
+++ b/.meta.toml
@@ -2,7 +2,7 @@
 # https://github.com/zopefoundation/meta/tree/master/config/c-code
 [meta]
 template = "c-code"
-commit-id = "a361e1fd"
+commit-id = "cb0568c7"
 
 [python]
 with-appveyor = true
diff --git a/appveyor.yml b/appveyor.yml
index 83717a0..d68cc80 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -16,6 +16,9 @@ environment:
     - python: 310-x64
     - python: 311-x64
     - python: 312-x64
+    # `multibuild` cannot install non-final versions as they are not on
+    # ftp.python.org, so we skip Python 3.13 until its final release:
+    # - python: 313-x64
 
 install:
   - "SET PYTHONVERSION=%PYTHON%"
diff --git a/tox.ini b/tox.ini
index 0a8282c..0346d7a 100644
--- a/tox.ini
+++ b/tox.ini
@@ -10,11 +10,13 @@ envlist =
     py310,py310-pure
     py311,py311-pure
     py312,py312-pure
+    py313,py313-pure
     pypy3
     coverage
 
 [testenv]
 usedevelop = true
+pip_pre = py313: true
 deps =
 setenv =
     pure: PURE_PYTHON=1
@@ -39,21 +41,31 @@ commands =
     coverage run -m zope.testrunner --test-path=src {posargs:-vc}
     coverage html -i
     coverage report -i -m --fail-under=100
-
-[testenv:lint]
+[testenv:release-check]
+description = ensure that the distribution is ready to release
 basepython = python3
 skip_install = true
+deps =
+    twine
+    build
+    check-manifest
+    check-python-versions >= 0.20.0
+    wheel
 commands =
-    isort --check-only --diff {toxinidir}/src {toxinidir}/setup.py
-    flake8 src setup.py
     check-manifest
     check-python-versions
+    python -m build --sdist --no-isolation
+    twine check dist/*
+
+[testenv:lint]
+basepython = python3
+skip_install = true
 deps =
-    check-manifest
-    check-python-versions >= 0.19.1
-    wheel
-    flake8
     isort
+    flake8
+commands =
+    isort --check-only --diff {toxinidir}/src {toxinidir}/setup.py
+    flake8 src setup.py
 
 [testenv:isort-apply]
 basepython = python3