113131320 has 192 divisors, whose sum is σ = 376272000. Its totient is φ = 27127296.

The previous prime is 113131297. The next prime is 113131321. The reversal of 113131320 is 23131311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113131320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1917451 + ... + 1917509.

It is an arithmetic number, because the mean of its divisors is an integer number (1959750).

Almost surely, 2^113131320 is an apocalyptic number.

113131320 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 113131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188136000).

113131320 is an abundant number, since it is smaller than the sum of its proper divisors (263140680).

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

113131320 is a wasteful number, since it uses less digits than its factorization.

113131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 113131320 is about 10636.3207924545. The cubic root of 113131320 is about 483.6460198899.

Adding to 113131320 its reverse (23131311), we get a palindrome (136262631).

Subtracting from 113131320 its reverse (23131311), we obtain a palindrome (90000009).

The spelling of 113131320 in words is "one hundred thirteen million, one hundred thirty-one thousand, three hundred twenty".