Hi,
You can create and share documents between Office 2016 and Office 2013 without worrying about compatibility issues. If you create a document using an Office 2016 application, and you send it to someone who’s using Office 2013, the recipient can still open and
edit the document in the corresponding Office application. The same is true for documents going from Office 2013 to Office 2016.
You can only install one Office version (Office 2013 or Office 2016) on a same computer, however, you can pair either Office 2013 or Office 2016 with the previous versions of Office. For more information, check this
link.
Let us know if you need further assistance.