How to remove gall stone 13mm without operation?

Gallstone removal. No gallstone removal without surgery. A single large stone is less likely to travel down the small duct that empties your gallbladder. Travelling stones can be dangerous to your health. If you have symptoms of gallbladder irritation, pain, bloating, belching, nausea, vomiting then a surgery consult is in order. Gallbladder removal with laprascopic cholecystectomy is safe, effective and durable.
Try medication. If you have a single gallstone that is not calcified, then a medication such as actigall (ursodiol) can dissolve some people's gallstones. But it may take years to work. No other means to "remove" gallstones short of surgery.
Gallstones. If it is not causing symptoms then nothing needs to be done. If your gallbladder becomes inflamed, or a stone fall in the bile duct, or causing inflammation of your pancreas then it has to be removed surgically to prevent that from happening again in the future.