Assuming you're talking about the same 3.7V chemistry, this is a horrifyingly bad idea (bad idea with any chemistry).
Would you connect a 6V battery in parallel with an 8V golf cart battery - only one cell difference there? Yeah, that's a more extreme example, but the concept is identical. Heckin no.
If you start at the same voltage, sure. No problem Only issue is when the 13S is at 100% SoC, the 14S is at 75%. When the 13S is at 20%, the 14S is empty.
So either you hammer the shit out of the 13S at the top AND hammer the shit out of the bottom end of the 14S, and only get 75-80% of the capacity of the batteries with a ~500 cycle life, or you limit both batteries to ~20-80% operation get about 20% of the entire battery capacity but get good cycle life.