113123440313200 has 240 divisors, whose sum is σ = 284114715780096. Its totient is φ = 43202839680000.

The previous prime is 113123440313167. The next prime is 113123440313231. The reversal of 113123440313200 is 2313044321311.

It is a congruent number.

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, 24576022099 + ... + 24576026701.

Almost surely, 2^{113123440313200} is an apocalyptic number.

113123440313200 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 113123440313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142057357890048).

113123440313200 is an abundant number, since it is smaller than the sum of its proper divisors (170991275466896).

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

113123440313200 is a wasteful number, since it uses less digits than its factorization.

113123440313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8952 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 113123440313200 its reverse (2313044321311), we get a palindrome (115436484634511).

The spelling of 113123440313200 in words is "one hundred thirteen trillion, one hundred twenty-three billion, four hundred forty million, three hundred thirteen thousand, two hundred".