113106384000 has 192 divisors, whose sum is σ = 406193818680. Its totient is φ = 30161664000.

The previous prime is 113106383921. The next prime is 113106384007. The reversal of 113106384000 is 483601311.

113106384000 is a `hidden beast` number, since 1 + 13 + 10 + 638 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55194924096 + 57911459904 = 234936^2 + 240648^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (113106384007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248731 + ... + 536730.

Almost surely, 2^113106384000 is an apocalyptic number.

113106384000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113106384000 is an abundant number, since it is smaller than the sum of its proper divisors (293087434680).

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

113106384000 is an equidigital number, since it uses as much as digits as its factorization.

113106384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785496 (or 785471 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 113106384000 its reverse (483601311), we get a palindrome (113589985311).

The spelling of 113106384000 in words is "one hundred thirteen billion, one hundred six million, three hundred eighty-four thousand".