It will fit with the right movement holder. The stem height is different. 2.5mm on the 2813, 2.25mm on the 2836. This means the 2836 will sit higher in the case (toward the crystal). Without a mod like thicker dial spacer, this will impose a vertical stress on the stem which may or may not be an issue depending on room in the tube and stem length.
If you do use a thicker dial spacer to lower the 2836 you create other issues like less room for hands on the canon pinion and increased date mag if a cyclops is involved due to greater distance to the datewheel.
People have done this with success, just be aware of what you are getting into. Finding a happy medium is the key.