113322332102200 has 144 divisors (see below), whose sum is σ = 285812962636680. Its totient is φ = 41766964462080.

The previous prime is 113322332102183. The next prime is 113322332102257. The reversal of 113322332102200 is 2201233223311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15816967 + ... + 21836233.

Almost surely, 2^{113322332102200} is an apocalyptic number.

113322332102200 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 113322332102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142906481318340).

113322332102200 is an abundant number, since it is smaller than the sum of its proper divisors (172490630534480).

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

113322332102200 is a wasteful number, since it uses less digits than its factorization.

113322332102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019866 (or 6019844 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 113322332102200 its reverse (2201233223311), we get a palindrome (115523565325511).

The spelling of 113322332102200 in words is "one hundred thirteen trillion, three hundred twenty-two billion, three hundred thirty-two million, one hundred two thousand, two hundred".