113132320032 has 96 divisors (see below), whose sum is σ = 298918831680. Its totient is φ = 37464145920.

The previous prime is 113132320031. The next prime is 113132320051. The reversal of 113132320032 is 230023231311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 113132319990 and 113132320008.

It is not an unprimeable number, because it can be changed into a prime (113132320031) 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 15 ways as a sum of consecutive naturals, for example, 15022444 + ... + 15029972.

It is an arithmetic number, because the mean of its divisors is an integer number (3113737830).

Almost surely, 2^113132320032 is an apocalyptic number.

113132320032 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 113132320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149459415840).

113132320032 is an abundant number, since it is smaller than the sum of its proper divisors (185786511648).

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

113132320032 is a wasteful number, since it uses less digits than its factorization.

113132320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 113132320032 its reverse (230023231311), we get a palindrome (343155551343).

The spelling of 113132320032 in words is "one hundred thirteen billion, one hundred thirty-two million, three hundred twenty thousand, thirty-two".