113 million is a lot of dough. I would pay off all my debt, help my family get out of debt (houses, cars etc), do the same for my very close friends. Give some to charity, fund a few art projects. Possibly buy an island somewhere in the S. Pacific
As far as giving someone a few hundred G's just because they asked... depends on who it was. Perfect stranger... no probably not. I guess I'm just not that nice. I wouldn't expect anyone to do it for me, so I'm not gonna do it for them.
Y'all remember that scene in Brewster's Millions where Richard Pryor has a line outside his office of people looking for handouts. I can just see that happening once word got out that you were just handing out cash. Hell, they would probably start a line as soon as it was announced. At least the lawyers certainly would.