I would say: "One hundred thirteen dollars and sixty cents." In US English, the word "sixty" would almost always be followed the word "cents". About the only time we wouldn't say "cents" is if it is stated like this: "One thirteen, sixty." This would be a very informal way speaking. Note that a lot of people add the word "and" after "hundred", but it isn't necessary. (I had a grade school teacher who drove the use of "and" when stating numbers right out of me.)

113.60 would be "One Hundred and Thirteen Dollars and SIXTY CENTS". 0.60 = SIXTY 0.06 = SIX

Choose one: -Most Formal- One hundred and thirty dollars and sixty cents. A hundred and thirty dollars, sixty cents. A hundred and thirty dollars sixty. A hundred and thirty sixty. One hundred and thirty sixty. -Least formal-