113321920 has 112 divisors (see below), whose sum is σ = 286390080. Its totient is φ = 42622976.

The previous prime is 113321917. The next prime is 113321933. The reversal of 113321920 is 29123311.

It is a junction number, because it is equal to n+sod(n) for n = 113321891 and 113321900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654954 + ... + 655126.

Almost surely, 2^113321920 is an apocalyptic number.

113321920 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 113321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143195040).

113321920 is an abundant number, since it is smaller than the sum of its proper divisors (173068160).

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

113321920 is a wasteful number, since it uses less digits than its factorization.

113321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 113321920 is about 10645.2768869579. The cubic root of 113321920 is about 483.9174779054.

The spelling of 113321920 in words is "one hundred thirteen million, three hundred twenty-one thousand, nine hundred twenty".