This is a huge problem and is called unilateral pathological high myopia. Fortunate he does not have in both eyes. Your child needs to be under the care of a pediatric ophthalmologist. If you have other children be sure they are tested also as this has a hereditary component. This will be a huge ordeal for you and your son. Wearing contact lens, patching the good eye or 'penalizing' it with atropine drops. An eye that long (-13) is often abnormal inside and may have other problems: congential cataracts, higher risk glaucoma, higher risk retinal detachment, myopic macular degeneration. Glasses need also to be worn to protect the good eye from injury. Special precautions to avoid injury to good eye: need to discuss avoiding contact sports, eye safety in general, wearing protective glasses.
Children's Mercy Hospital in Kansas City, MO has the first pediatric refractive surgery center in the United States. they often do under general anesthesia LASIK or PRK on the eye. There are other pediatric refractive centers in the US now. Ask your pediatric ophthalmologist about that option.