113362320 has 80 divisors (see below), whose sum is σ = 353405952. Its totient is φ = 30059520.

The previous prime is 113362297. The next prime is 113362349. The reversal of 113362320 is 23263311.

It is a tau number, because it is divible by the number of its divisors (80).

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, 44604 + ... + 47076.

Almost surely, 2^113362320 is an apocalyptic number.

113362320 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 113362320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176702976).

113362320 is an abundant number, since it is smaller than the sum of its proper divisors (240043632).

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

113362320 is a wasteful number, since it uses less digits than its factorization.

113362320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 113362320 is about 10647.1742730172. The cubic root of 113362320 is about 483.9749776468.

Subtracting from 113362320 its reverse (23263311), we obtain a palindrome (90099009).

The spelling of 113362320 in words is "one hundred thirteen million, three hundred sixty-two thousand, three hundred twenty".