113316351321600 has 4800 divisors, whose sum is σ = 533395052942400. Its totient is φ = 23451732541440.

The previous prime is 113316351321559. The next prime is 113316351321623. The reversal of 113316351321600 is 6123153613311.

113316351321600 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 6 + 35 + 13 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 409084300662 + ... + 409084300938.

It is an arithmetic number, because the mean of its divisors is an integer number (111123969363).

Almost surely, 2^{113316351321600} is an apocalyptic number.

113316351321600 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 113316351321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266697526471200).

113316351321600 is an abundant number, since it is smaller than the sum of its proper divisors (420078701620800).

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

113316351321600 is an equidigital number, since it uses as much as digits as its factorization.

113316351321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 113316351321600 in words is "one hundred thirteen trillion, three hundred sixteen billion, three hundred fifty-one million, three hundred twenty-one thousand, six hundred".