113022103200 has 288 divisors, whose sum is σ = 376895877120. Its totient is φ = 29405260800.

The previous prime is 113022103177. The next prime is 113022103279. The reversal of 113022103200 is 2301220311.

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 113022103200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40493805 + ... + 40496595.

It is an arithmetic number, because the mean of its divisors is an integer number (1308666240).

Almost surely, 2^113022103200 is an apocalyptic number.

113022103200 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 113022103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188447938560).

113022103200 is an abundant number, since it is smaller than the sum of its proper divisors (263873773920).

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

113022103200 is a wasteful number, since it uses less digits than its factorization.

113022103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113022103200 its reverse (2301220311), we get a palindrome (115323323511).

The spelling of 113022103200 in words is "one hundred thirteen billion, twenty-two million, one hundred three thousand, two hundred".