It's useful for rubbing on cuts and is like an organic Neosporin.
Among the products that contain one or more of these ingredients are Bactroban (a prescription item), Neosporin, Polysporin, and triple antibiotic ointment or cream.
Even if you don't bleed, you should cleanse the skin thoroughly and apply a topical ointment like Neosporin to the affected area afterwards, to help prevent the possibility of infection.
If needed, follow cleansing with hydrogen peroxide and an antibacterial cream such as Neosporin.
Follow up with an application of an antibiotic ointment, such as Neosporin.