113

This number is a prime.

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The recently published AINUR (the Atlas of Images of Nuclear Rings) in the journal Monthly Notices of the Royal Astronomical Society covers 113 nuclear rings in 107 [also prime] different galaxies. [Post]

The number of associative binary operations on an 3-set, or the number of labeled semigroups with 3 elements. [Post]

The smallest actual prime which is also a "semiprime" in base 10 carryless arithmetic. [Post]

113 is the smallest emirp whose sum of digits is prime. [Post]