113131323432 has 96 divisors (see below), whose sum is σ = 322977412800. Its totient is φ = 36691144128.

The previous prime is 113131323323. The next prime is 113131323443. The reversal of 113131323432 is 234323131311.

113131323432 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 313 + 2 + 343 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 113131323396 and 113131323405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104413 + ... + 486995.

It is an arithmetic number, because the mean of its divisors is an integer number (3364348050).

Almost surely, 2^113131323432 is an apocalyptic number.

113131323432 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 113131323432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161488706400).

113131323432 is an abundant number, since it is smaller than the sum of its proper divisors (209846089368).

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

113131323432 is a wasteful number, since it uses less digits than its factorization.

113131323432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382672 (or 382625 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 113131323432 its reverse (234323131311), we get a palindrome (347454454743).

The spelling of 113131323432 in words is "one hundred thirteen billion, one hundred thirty-one million, three hundred twenty-three thousand, four hundred thirty-two".