113116194900 has 288 divisors, whose sum is σ = 370056314880. Its totient is φ = 29637498240.

The previous prime is 113116194887. The next prime is 113116194929. The reversal of 113116194900 is 9491611311.

113116194900 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 161 + 9 + 490 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36688759 + ... + 36691841.

It is an arithmetic number, because the mean of its divisors is an integer number (1284917760).

Almost surely, 2^113116194900 is an apocalyptic number.

113116194900 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 113116194900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185028157440).

113116194900 is an abundant number, since it is smaller than the sum of its proper divisors (256940119980).

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

113116194900 is a wasteful number, since it uses less digits than its factorization.

113116194900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 113116194900 in words is "one hundred thirteen billion, one hundred sixteen million, one hundred ninety-four thousand, nine hundred".