113202113121300 has 576 divisors, whose sum is σ = 385475988957696. Its totient is φ = 25110754099200.

The previous prime is 113202113121289. The next prime is 113202113121347. The reversal of 113202113121300 is 3121311202311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13260170632 + ... + 13260179168.

It is an arithmetic number, because the mean of its divisors is an integer number (669229147496).

Almost surely, 2^{113202113121300} is an apocalyptic number.

113202113121300 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 113202113121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192737994478848).

113202113121300 is an abundant number, since it is smaller than the sum of its proper divisors (272273875836396).

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

113202113121300 is a wasteful number, since it uses less digits than its factorization.

113202113121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9396 (or 9389 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 113202113121300 its reverse (3121311202311), we get a palindrome (116323424323611).

The spelling of 113202113121300 in words is "one hundred thirteen trillion, two hundred two billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred".