113113000032 has 96 divisors (see below), whose sum is σ = 300437932032. Its totient is φ = 37260309504.

The previous prime is 113113000031. The next prime is 113113000037. The reversal of 113113000032 is 230000311311.

113113000032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 113112999975 and 113113000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113113000031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2913613 + ... + 2952179.

It is an arithmetic number, because the mean of its divisors is an integer number (3129561792).

Almost surely, 2^113113000032 is an apocalyptic number.

113113000032 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 113113000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150218966016).

113113000032 is an abundant number, since it is smaller than the sum of its proper divisors (187324932000).

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

113113000032 is a wasteful number, since it uses less digits than its factorization.

113113000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38940 (or 38932 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113113000032 its reverse (230000311311), we get a palindrome (343113311343).

The spelling of 113113000032 in words is "one hundred thirteen billion, one hundred thirteen million, thirty-two", and thus it is an aban number.