For all those that want to use Visio 2013 on Mac OS (High Sierra), in order to successfully install you need to use the ISO/DVD installer. When installing using the EXE will give errors while installing.
This applies to both Standard and Professional version.
Be aware that Visio will give issues as the complex applications might crash unexpected. Standard features work, loading complex drawings made in Visio 2016 with backward compatibility may cause Visio to crash.