113317632 has 108 divisors (see below), whose sum is σ = 330024240. Its totient is φ = 37392384.

The previous prime is 113317627. The next prime is 113317649. The reversal of 113317632 is 236713311.

113317632 is a `hidden beast` number, since 1 + 13 + 3 + 17 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113317596 and 113317605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315469 + ... + 315827.

It is an arithmetic number, because the mean of its divisors is an integer number (3055780).

Almost surely, 2^113317632 is an apocalyptic number.

113317632 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 113317632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165012120).

113317632 is an abundant number, since it is smaller than the sum of its proper divisors (216706608).

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

113317632 is a wasteful number, since it uses less digits than its factorization.

113317632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 113317632 is about 10645.0754811791. The cubic root of 113317632 is about 483.9113741603.

The spelling of 113317632 in words is "one hundred thirteen million, three hundred seventeen thousand, six hundred thirty-two".