113312113122200 has 96 divisors (see below), whose sum is σ = 265141374880800. Its totient is φ = 45033997731840.

The previous prime is 113312113122121. The next prime is 113312113122203. The reversal of 113312113122200 is 2221311213311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113312113122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 764107661 + ... + 764255939.

It is an arithmetic number, because the mean of its divisors is an integer number (2761889321675).

Almost surely, 2^{113312113122200} is an apocalyptic number.

113312113122200 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 113312113122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132570687440400).

113312113122200 is an abundant number, since it is smaller than the sum of its proper divisors (151829261758600).

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

113312113122200 is a wasteful number, since it uses less digits than its factorization.

113312113122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172789 (or 172780 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 113312113122200 its reverse (2221311213311), we get a palindrome (115533424335511).

The spelling of 113312113122200 in words is "one hundred thirteen trillion, three hundred twelve billion, one hundred thirteen million, one hundred twenty-two thousand, two hundred".