113032310320 has 80 divisors (see below), whose sum is σ = 264885546240. Its totient is φ = 44854566912.

The previous prime is 113032310263. The next prime is 113032310323. The reversal of 113032310320 is 23013230311.

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 (113032310323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29798344 + ... + 29802136.

It is an arithmetic number, because the mean of its divisors is an integer number (3311069328).

Almost surely, 2^113032310320 is an apocalyptic number.

113032310320 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 113032310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132442773120).

113032310320 is an abundant number, since it is smaller than the sum of its proper divisors (151853235920).

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

113032310320 is a wasteful number, since it uses less digits than its factorization.

113032310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6662 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 113032310320 its reverse (23013230311), we get a palindrome (136045540631).

The spelling of 113032310320 in words is "one hundred thirteen billion, thirty-two million, three hundred ten thousand, three hundred twenty".