I have HPV 6, 13, 61. I'm 22. How long can it take to develop cancer? Can I develop cancer in my intestine, or leukemia?

You can avoid it. Having the viruses on board is no guarantee they will ever trouble you. You can avoid losing your ability to become a mother or worse by getting checked regularly as per your evidence-based physician. Hpv is not a cause of leukemia or bowel cancer.