113138337312 has 1152 divisors, whose sum is σ = 457765281792. Its totient is φ = 25546752000.

The previous prime is 113138337307. The next prime is 113138337313. The reversal of 113138337312 is 213733831311.

113138337312 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 8 + 337 + 312 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113138337313) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 749260437 + ... + 749260587.

It is an arithmetic number, because the mean of its divisors is an integer number (397365696).

Almost surely, 2^113138337312 is an apocalyptic number.

113138337312 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 113138337312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228882640896).

113138337312 is an abundant number, since it is smaller than the sum of its proper divisors (344626944480).

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

113138337312 is a wasteful number, since it uses less digits than its factorization.

113138337312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The spelling of 113138337312 in words is "one hundred thirteen billion, one hundred thirty-eight million, three hundred thirty-seven thousand, three hundred twelve".