You have to keep the sequence data all together, but each PWM is treated independently, so the q-values will be the same, whether you run them all at once (probably impossible), or individual. As I've discussed with you elsewhere, FIMO doesn't apply a multiple testing correction for using 13,000 PWM. You might apply a Bonferroni correction by taking your nominal q-value threshold and dividing by 13,000. Note though that this means you are unlikely to get useful results. Given inputs of this size, you are only going to reach statistical significance for very long, very specific motifs.