113120131102200 has 288 divisors, whose sum is σ = 390185626521600. Its totient is φ = 29348351585280.

The previous prime is 113120131102079. The next prime is 113120131102283. The reversal of 113120131102200 is 2201131021311.

113120131102200 is a `hidden beast` number, since 1 + 1 + 312 + 0 + 131 + 1 + 0 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1432060306 + ... + 1432139294.

It is an arithmetic number, because the mean of its divisors is an integer number (1354811203200).

Almost surely, 2^{113120131102200} is an apocalyptic number.

113120131102200 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 113120131102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195092813260800).

113120131102200 is an abundant number, since it is smaller than the sum of its proper divisors (277065495419400).

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

113120131102200 is a wasteful number, since it uses less digits than its factorization.

113120131102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100551 (or 100539 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113120131102200 its reverse (2201131021311), we get a palindrome (115321262123511).

The spelling of 113120131102200 in words is "one hundred thirteen trillion, one hundred twenty billion, one hundred thirty-one million, one hundred two thousand, two hundred".