113322032320 has 224 divisors, whose sum is σ = 312823555200. Its totient is φ = 38299238400.

The previous prime is 113322032261. The next prime is 113322032321. The reversal of 113322032320 is 23230223311.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 113322032291 and 113322032300.

It is not an unprimeable number, because it can be changed into a prime (113322032321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58142706 + ... + 58144654.

Almost surely, 2^113322032320 is an apocalyptic number.

113322032320 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 113322032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156411777600).

113322032320 is an abundant number, since it is smaller than the sum of its proper divisors (199501522880).

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

113322032320 is a wasteful number, since it uses less digits than its factorization.

113322032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 113322032320 its reverse (23230223311), we get a palindrome (136552255631).

The spelling of 113322032320 in words is "one hundred thirteen billion, three hundred twenty-two million, thirty-two thousand, three hundred twenty".