I've never had bleeding problems with my piercings. But I've also never had my nose pierced.

I have 2 lip piercings (snake bite) and I have my dick pierced (frenum) and I've never had bleeding problems.

Maybe your blood doesn't clot as fast. It's probably not a real big issue. Give it a week and I bet it won't bleed anymore and after 4 weeks, you won't even notice it's there.