113380132656000 has 2048 divisors, whose sum is σ = 468953087016960. Its totient is φ = 23642967244800.

The previous prime is 113380132655987. The next prime is 113380132656023. The reversal of 113380132656000 is 656231083311.

It is a super-2 number, since 2×113380132656000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113380132656000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28725646027 + ... + 28725649973.

It is an arithmetic number, because the mean of its divisors is an integer number (228980999520).

Almost surely, 2^{113380132656000} is an apocalyptic number.

113380132656000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113380132656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234476543508480).

113380132656000 is an abundant number, since it is smaller than the sum of its proper divisors (355572954360960).

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

113380132656000 is a wasteful number, since it uses less digits than its factorization.

113380132656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 113380132656000 in words is "one hundred thirteen trillion, three hundred eighty billion, one hundred thirty-two million, six hundred fifty-six thousand".