113032312120200 has 768 divisors, whose sum is σ = 403448677632000. Its totient is φ = 25928830771200.

The previous prime is 113032312120159. The next prime is 113032312120201. The reversal of 113032312120200 is 2021213230311.

It is not an unprimeable number, because it can be changed into a prime (113032312120201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2446616701 + ... + 2446662899.

It is an arithmetic number, because the mean of its divisors is an integer number (525323799000).

Almost surely, 2^{113032312120200} is an apocalyptic number.

113032312120200 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 113032312120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201724338816000).

113032312120200 is an abundant number, since it is smaller than the sum of its proper divisors (290416365511800).

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

113032312120200 is a wasteful number, since it uses less digits than its factorization.

113032312120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46542 (or 46533 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113032312120200 its reverse (2021213230311), we get a palindrome (115053525350511).

The spelling of 113032312120200 in words is "one hundred thirteen trillion, thirty-two billion, three hundred twelve million, one hundred twenty thousand, two hundred".