Below you can see the front-view size comparison of the Fujifilm XP130 and Fujifilm S8100fd. The Fujifilm XP130 is clearly the smaller of the two cameras. Its body is 1mm narrower, 7 mm shorter and 51 mm thinner than the Fujifilm S8100fd.
The chart below depicts how two cameras compare with average dimensions of the cameras in their class.