113130000032 has 96 divisors (see below), whose sum is σ = 268101550080. Its totient is φ = 45904700160.

The previous prime is 113130000031. The next prime is 113130000037. The reversal of 113130000032 is 230000031311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 113129999971 and 113130000016.

It is not an unprimeable number, because it can be changed into a prime (113130000031) 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, 7955873 + ... + 7970079.

It is an arithmetic number, because the mean of its divisors is an integer number (2792724480).

Almost surely, 2^113130000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113130000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134050775040).

113130000032 is an abundant number, since it is smaller than the sum of its proper divisors (154971550048).

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

113130000032 is a wasteful number, since it uses less digits than its factorization.

113130000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16114 (or 16106 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 113130000032 its reverse (230000031311), we get a palindrome (343130031343).

The spelling of 113130000032 in words is "one hundred thirteen billion, one hundred thirty million, thirty-two", and thus it is an aban number.