113381136 has 120 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 33235200.

The previous prime is 113381123. The next prime is 113381137. The reversal of 113381136 is 631183311.

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 (113381137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47950 + ... + 50258.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^113381136 is an apocalyptic number.

113381136 is a gapful number since it is divisible by the number (16) 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 113381136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

113381136 is an abundant number, since it is smaller than the sum of its proper divisors (244095984).

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

113381136 is a wasteful number, since it uses less digits than its factorization.

113381136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2356 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 113381136 is about 10648.0578510825. The cubic root of 113381136 is about 484.0017530615.

The spelling of 113381136 in words is "one hundred thirteen million, three hundred eighty-one thousand, one hundred thirty-six".