113202012000000 has 2016 divisors, whose sum is σ = 474564735493632. Its totient is φ = 23270400000000.

The previous prime is 113202011999977. The next prime is 113202012000037. The reversal of 113202012000000 is 210202311.

113202012000000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 113202012000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 93323999394 + ... + 93324000606.

It is an arithmetic number, because the mean of its divisors is an integer number (235399174352).

Almost surely, 2^{113202012000000} is an apocalyptic number.

113202012000000 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 113202012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237282367746816).

113202012000000 is an abundant number, since it is smaller than the sum of its proper divisors (361362723493632).

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

113202012000000 is an equidigital number, since it uses as much as digits as its factorization.

113202012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 113202012000000 its reverse (210202311), we get a palindrome (113202222202311).

The spelling of 113202012000000 in words is "one hundred thirteen trillion, two hundred two billion, twelve million", and thus it is an aban number.