113013312 has 56 divisors (see below), whose sum is σ = 300447456. Its totient is φ = 37490688.

The previous prime is 113013289. The next prime is 113013317. The reversal of 113013312 is 213310311.

It is a junction number, because it is equal to n+sod(n) for n = 113013291 and 113013300.

It is not an unprimeable number, because it can be changed into a prime (113013317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42288 + ... + 44880.

Almost surely, 2^113013312 is an apocalyptic number.

113013312 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 113013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150223728).

113013312 is an abundant number, since it is smaller than the sum of its proper divisors (187434144).

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

113013312 is a wasteful number, since it uses less digits than its factorization.

113013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2825 counting only the distinct ones).

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

The square root of 113013312 is about 10630.7719381050. The cubic root of 113013312 is about 483.4777966374.

Adding to 113013312 its reverse (213310311), we get a palindrome (326323623).

The spelling of 113013312 in words is "one hundred thirteen million, thirteen thousand, three hundred twelve".