113321672831520 has 1344 divisors, whose sum is σ = 428703926676480. Its totient is φ = 28225792355328.

The previous prime is 113321672831467. The next prime is 113321672831537. The reversal of 113321672831520 is 25138276123311.

113321672831520 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 21 + 6 + 72 + 8 + 31 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 499214417647 + ... + 499214417873.

It is an arithmetic number, because the mean of its divisors is an integer number (318976135920).

Almost surely, 2^{113321672831520} is an apocalyptic number.

113321672831520 is a gapful number since it is divisible by the number (10) 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 113321672831520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214351963338240).

113321672831520 is an abundant number, since it is smaller than the sum of its proper divisors (315382253844960).

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

113321672831520 is an frugal number, since it uses more digits than its factorization.

113321672831520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 113321672831520 in words is "one hundred thirteen trillion, three hundred twenty-one billion, six hundred seventy-two million, eight hundred thirty-one thousand, five hundred twenty".