Starship 1's LEO capacity has been stated to be 50 tons to LEO. Which is significantly below the goal of 100-150 tons, but absolutely massive compared to anything else. Starship 2 flies next week, so it's moot.
Falcon Heavy can nominally do 64 tons to LEO, but it's volume constrained. It's really hard to fit more than 15-20 tons worth of useful cargo in the fairing. What the extra thrust is useful for is pushing 15 tons to beyond Earth orbit.
I don't really know much about rockets. Do I read here correctly tha Falvon Heavy has 63,800 kg payload to LEO capacity?
https://en.m.wikipedia.org/wiki/Falcon_Heavy
> Starship 2 flies next week, so it's moot.
So I guess the OP really meant Starship 2.