113218320 has 80 divisors (see below), whose sum is σ = 363101760. Its totient is φ = 29148672.

The previous prime is 113218309. The next prime is 113218327. The reversal of 113218320 is 23812311.

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

It is not an unprimeable number, because it can be changed into a prime (113218327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174 + ... + 15093.

It is an arithmetic number, because the mean of its divisors is an integer number (4538772).

Almost surely, 2^113218320 is an apocalyptic number.

113218320 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 113218320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181550880).

113218320 is an abundant number, since it is smaller than the sum of its proper divisors (249883440).

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

113218320 is a wasteful number, since it uses less digits than its factorization.

113218320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16312 (or 16306 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 113218320 is about 10640.4097665456. The cubic root of 113218320 is about 483.7699655909.

The spelling of 113218320 in words is "one hundred thirteen million, two hundred eighteen thousand, three hundred twenty".