113313112 has 96 divisors (see below), whose sum is σ = 252327600. Its totient is φ = 47520000.

The previous prime is 113313061. The next prime is 113313163. The reversal of 113313112 is 211313311.

It is an interprime number because it is at equal distance from previous prime (113313061) and next prime (113313163).

It is a super-3 number, since 3×113313112³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121862 + ... + 1121962.

Almost surely, 2^113313112 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 113313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126163800).

113313112 is an abundant number, since it is smaller than the sum of its proper divisors (139014488).

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

113313112 is a wasteful number, since it uses less digits than its factorization.

113313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its digits is 54, while the sum is 16.

The square root of 113313112 is about 10644.8631743203. The cubic root of 113313112 is about 483.9049400087.

Adding to 113313112 its reverse (211313311), we get a palindrome (324626423).

The spelling of 113313112 in words is "one hundred thirteen million, three hundred thirteen thousand, one hundred twelve".