113031202120200 has 1152 divisors, whose sum is σ = 480141385651200. Its totient is φ = 23188375388160.

The previous prime is 113031202120181. The next prime is 113031202120211. The reversal of 113031202120200 is 2021202130311.

113031202120200 is a `hidden beast` number, since 1 + 1 + 30 + 312 + 0 + 2 + 120 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10624226481 + ... + 10624237119.

Almost surely, 2^{113031202120200} is an apocalyptic number.

113031202120200 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 113031202120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240070692825600).

113031202120200 is an abundant number, since it is smaller than the sum of its proper divisors (367110183531000).

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

113031202120200 is a wasteful number, since it uses less digits than its factorization.

113031202120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12471 (or 12459 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113031202120200 its reverse (2021202130311), we get a palindrome (115052404250511).

The spelling of 113031202120200 in words is "one hundred thirteen trillion, thirty-one billion, two hundred two million, one hundred twenty thousand, two hundred".