113013496512 has 420 divisors, whose sum is σ = 412641937224. Its totient is φ = 30389022720.

The previous prime is 113013496501. The next prime is 113013496523. The reversal of 113013496512 is 215694310311.

113013496512 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 134 + 9 + 6 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (113013496501) and next prime (113013496523).

It is a super-2 number, since 2×113013496512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4305187 + ... + 4331357.

Almost surely, 2^113013496512 is an apocalyptic number.

113013496512 is a gapful number since it is divisible by the number (12) 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 113013496512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206320968612).

113013496512 is an abundant number, since it is smaller than the sum of its proper divisors (299628440712).

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

113013496512 is a wasteful number, since it uses less digits than its factorization.

113013496512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26226 (or 26200 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 113013496512 in words is "one hundred thirteen billion, thirteen million, four hundred ninety-six thousand, five hundred twelve".