113015347200 has 1440 divisors, whose sum is σ = 508734626400. Its totient is φ = 24206376960.

The previous prime is 113015347169. The next prime is 113015347259. The reversal of 113015347200 is 2743510311.

113015347200 is a `hidden beast` number, since 11 + 30 + 153 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 493516686 + ... + 493516914.

It is an arithmetic number, because the mean of its divisors is an integer number (353287935).

Almost surely, 2^113015347200 is an apocalyptic number.

113015347200 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 113015347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254367313200).

113015347200 is an abundant number, since it is smaller than the sum of its proper divisors (395719279200).

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

113015347200 is a wasteful number, since it uses less digits than its factorization.

113015347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 113015347200 its reverse (2743510311), we get a palindrome (115758857511).

The spelling of 113015347200 in words is "one hundred thirteen billion, fifteen million, three hundred forty-seven thousand, two hundred".