113132360417312 has 192 divisors, whose sum is σ = 230371987507200. Its totient is φ = 54657481482240.

The previous prime is 113132360417291. The next prime is 113132360417407. The reversal of 113132360417312 is 213714063231311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54364420112 + ... + 54364422192.

It is an arithmetic number, because the mean of its divisors is an integer number (1199854101600).

Almost surely, 2^{113132360417312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113132360417312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115185993753600).

113132360417312 is an abundant number, since it is smaller than the sum of its proper divisors (117239627089888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113132360417312 is a wasteful number, since it uses less digits than its factorization.

113132360417312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 113132360417312 in words is "one hundred thirteen trillion, one hundred thirty-two billion, three hundred sixty million, four hundred seventeen thousand, three hundred twelve".