113005312 has 72 divisors (see below), whose sum is σ = 271443200. Its totient is φ = 45868032.

The previous prime is 113005309. The next prime is 113005327. The reversal of 113005312 is 213500311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32389 + ... + 35707.

Almost surely, 2^113005312 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 113005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135721600).

113005312 is an abundant number, since it is smaller than the sum of its proper divisors (158437888).

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

113005312 is an equidigital number, since it uses as much as digits as its factorization.

113005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 113005312 is about 10630.3956652610. The cubic root of 113005312 is about 483.4663882067.

Adding to 113005312 its reverse (213500311), we get a palindrome (326505623).

The spelling of 113005312 in words is "one hundred thirteen million, five thousand, three hundred twelve".