113332113110320 has 160 divisors (see below), whose sum is σ = 284019300976320. Its totient is φ = 41808394321920.

The previous prime is 113332113110273. The next prime is 113332113110327. The reversal of 113332113110320 is 23011311233311.

It is not an unprimeable number, because it can be changed into a prime (113332113110327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5971438591 + ... + 5971457569.

It is an arithmetic number, because the mean of its divisors is an integer number (1775120631102).

Almost surely, 2^{113332113110320} is an apocalyptic number.

113332113110320 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 113332113110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142009650488160).

113332113110320 is an abundant number, since it is smaller than the sum of its proper divisors (170687187866000).

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

113332113110320 is a wasteful number, since it uses less digits than its factorization.

113332113110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23823 (or 23817 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 113332113110320 its reverse (23011311233311), we get a palindrome (136343424343631).

The spelling of 113332113110320 in words is "one hundred thirteen trillion, three hundred thirty-two billion, one hundred thirteen million, one hundred ten thousand, three hundred twenty".