113013312132 has 192 divisors, whose sum is σ = 314903199744. Its totient is φ = 30876318720.

The previous prime is 113013312131. The next prime is 113013312149. The reversal of 113013312132 is 231213310311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113013312099 and 113013312108.

It is not an unprimeable number, because it can be changed into a prime (113013312131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56704128 + ... + 56706120.

It is an arithmetic number, because the mean of its divisors is an integer number (1640120832).

Almost surely, 2^113013312132 is an apocalyptic number.

113013312132 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 113013312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157451599872).

113013312132 is an abundant number, since it is smaller than the sum of its proper divisors (201889887612).

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

113013312132 is a wasteful number, since it uses less digits than its factorization.

113013312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113013312132 its reverse (231213310311), we get a palindrome (344226622443).

The spelling of 113013312132 in words is "one hundred thirteen billion, thirteen million, three hundred twelve thousand, one hundred thirty-two".