113002032320 has 448 divisors, whose sum is σ = 300342214656. Its totient is φ = 40368599040.

The previous prime is 113002032281. The next prime is 113002032323. The reversal of 113002032320 is 23230200311.

It is not an unprimeable number, because it can be changed into a prime (113002032323) 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 63 ways as a sum of consecutive naturals, for example, 1056093707 + ... + 1056093813.

Almost surely, 2^113002032320 is an apocalyptic number.

113002032320 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 113002032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150171107328).

113002032320 is an abundant number, since it is smaller than the sum of its proper divisors (187340182336).

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

113002032320 is a wasteful number, since it uses less digits than its factorization.

113002032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 113002032320 its reverse (23230200311), we get a palindrome (136232232631).

The spelling of 113002032320 in words is "one hundred thirteen billion, two million, thirty-two thousand, three hundred twenty".