113021130313200 has 480 divisors, whose sum is σ = 391699897459200. Its totient is φ = 27759676354560.

The previous prime is 113021130313153. The next prime is 113021130313283. The reversal of 113021130313200 is 2313031120311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1112657614 + ... + 1112759186.

It is an arithmetic number, because the mean of its divisors is an integer number (816041453040).

Almost surely, 2^{113021130313200} is an apocalyptic number.

113021130313200 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 113021130313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195849948729600).

113021130313200 is an abundant number, since it is smaller than the sum of its proper divisors (278678767146000).

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

113021130313200 is a wasteful number, since it uses less digits than its factorization.

113021130313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102969 (or 102958 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113021130313200 its reverse (2313031120311), we get a palindrome (115334161433511).

The spelling of 113021130313200 in words is "one hundred thirteen trillion, twenty-one billion, one hundred thirty million, three hundred thirteen thousand, two hundred".