You cannot run the 2013 desktop app portably, but you can use with a Windows To Go workspace (if you have Windows Enterprise) or a portable virtual machine.
These versions are almost always "cracked," which violates Microsoft’s licensing terms and can lead to IT compliance issues in a professional environment. 3. Features of MS Project 2013 (The "Why")
If you're looking for a "portable" version of MS Project 2013, it's important to note that Microsoft never officially released one. Most files labeled "MS Project 2013 Portable" found online are unofficial modifications or "thin applications" that carry significant risks:
Modern teams often prefer SaaS platforms that require no installation:
Familiar to anyone who has used Office 2010 or 2013.
Any version of MS Project 2013 labeled as "portable" is a cracked, altered version created by third parties using virtualization or packaging tools. The Hidden Risks of Using MS Project 2013 Portable
The software may shut down unexpectedly during resource leveling.
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You risk losing complex .mpp project schedules permanently.
Utilizing unauthorized code violates international copyright laws. 3. Instability and Data Loss