Who knows one hundred thirteen?
Please cite/link your sources, if possible. At some point at least twenty-four hours from now, I will:
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The Tur OC 101 discusses how much of the sh'mone esre (amida) one needs to have concentration on while saying. Amid that, he writes:
The rabbi, Rabbi Eliezer, wrote that a person should accustom himself that he has concentration, at least, for the closure of each benediction. For they have, [all told,] one hundred thirteen words, just as there are [one hundred thirteen words] in the prayer of Chana and one hundred thirteen times "lev" [="heart"] in Chumash, to indicate that one needs to have concentration of the heart for them.
This answer previously had less info in it and cited a later source. Many thanks to Y ez for pointing me to the Tur.