The Lenovo Precision Pen 2 is compatible with certain Lenovo laptop models such as IdeaPad Flex, Yoga and ThinkPad series. The Lenovo L13 2-in-1 Gen 5 is not explicitly mentioned as compatible in the available information and there is no official list confirming this compatibility. Therefore, it cannot be said with certainty whether the pen will work with the Lenovo L13 2-in-1 Gen 5.

The pen is specifically designed for certain Lenovo laptops, not for all Lenovo tablets or 2-in-1 models. For a definitive answer, we recommend contacting Lenovo directly or checking the compatibility information in the L13 2-in-1 Gen 5 manual.