113358532320 has 768 divisors, whose sum is σ = 478287452160. Its totient is φ = 24735744000.

The previous prime is 113358532283. The next prime is 113358532321. The reversal of 113358532320 is 23235853311.

113358532320 is a `hidden beast` number, since 1 + 1 + 33 + 585 + 3 + 23 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113358532321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18577270 + ... + 18583370.

It is an arithmetic number, because the mean of its divisors is an integer number (622770120).

Almost surely, 2^113358532320 is an apocalyptic number.

113358532320 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 113358532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239143726080).

113358532320 is an abundant number, since it is smaller than the sum of its proper divisors (364928919840).

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

113358532320 is a wasteful number, since it uses less digits than its factorization.

113358532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 113358532320 in words is "one hundred thirteen billion, three hundred fifty-eight million, five hundred thirty-two thousand, three hundred twenty".