Alleviated factorisation

$P<Q$ are two prime numbers.

You are given:
$P\times Q=2502128003544190562737219821476557238262836801164\mathrm{\setminus }$
$2948611923288271186128054172457672472582525510063$
$P\otimes Q=10896394514466713067376536898727387282419639480038$
($\otimes$ is the XOR operation)

Can you find P and Q ?

Answer format: $P,Q$

[My timing: 75 sec]