113818320 has 240 divisors, whose sum is σ = 476790912. Its totient is φ = 23639040.

The previous prime is 113818319. The next prime is 113818333. The reversal of 113818320 is 23818311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54414 + ... + 56466.

Almost surely, 2^113818320 is an apocalyptic number.

113818320 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 113818320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238395456).

113818320 is an abundant number, since it is smaller than the sum of its proper divisors (362972592).

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

113818320 is a wasteful number, since it uses less digits than its factorization.

113818320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 113818320 is about 10668.5669140705. The cubic root of 113818320 is about 484.6230393581.

Subtracting from 113818320 its reverse (23818311), we obtain a palindrome (90000009).

It can be divided in two parts, 11381 and 8320, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 113818320 in words is "one hundred thirteen million, eight hundred eighteen thousand, three hundred twenty".