113200413732 has 144 divisors (see below), whose sum is σ = 339502450560. Its totient is φ = 32307973632.

The previous prime is 113200413731. The next prime is 113200413743. The reversal of 113200413732 is 237314002311.

It is a happy number.

113200413732 is a `hidden beast` number, since 1 + 13 + 200 + 413 + 7 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113200413696 and 113200413705.

It is not an unprimeable number, because it can be changed into a prime (113200413731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6638994 + ... + 6656022.

Almost surely, 2^113200413732 is an apocalyptic number.

113200413732 is a gapful number since it is divisible by the number (12) 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 113200413732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169751225280).

113200413732 is an abundant number, since it is smaller than the sum of its proper divisors (226302036828).

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

113200413732 is a wasteful number, since it uses less digits than its factorization.

113200413732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18032 (or 18018 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 113200413732 in words is "one hundred thirteen billion, two hundred million, four hundred thirteen thousand, seven hundred thirty-two".