113000311320 has 256 divisors, whose sum is σ = 373776076800. Its totient is φ = 27159459840.

The previous prime is 113000311283. The next prime is 113000311339. The reversal of 113000311320 is 23113000311.

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 113000311320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13222969 + ... + 13231511.

It is an arithmetic number, because the mean of its divisors is an integer number (1460062800).

Almost surely, 2^113000311320 is an apocalyptic number.

113000311320 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 113000311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186888038400).

113000311320 is an abundant number, since it is smaller than the sum of its proper divisors (260775765480).

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

113000311320 is a wasteful number, since it uses less digits than its factorization.

113000311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8770 (or 8766 counting only the distinct ones).

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

Adding to 113000311320 its reverse (23113000311), we get a palindrome (136113311631).

The spelling of 113000311320 in words is "one hundred thirteen billion, three hundred eleven thousand, three hundred twenty".