313313112 has 96 divisors (see below), whose sum is σ = 975106080. Its totient is φ = 89026560.

The previous prime is 313313101. The next prime is 313313113. The reversal of 313313112 is 211313313.

It is a happy number.

It is a super-2 number, since 2×313313112² = 196330212302249088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313313113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95662 + ... + 98882.

It is an arithmetic number, because the mean of its divisors is an integer number (10157355).

Almost surely, 2^313313112 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 313313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487553040).

313313112 is an abundant number, since it is smaller than the sum of its proper divisors (661792968).

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

313313112 is a wasteful number, since it uses less digits than its factorization.

313313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3426 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 313313112 is about 17700.6528693153. The cubic root of 313313112 is about 679.1924612198.

Adding to 313313112 its reverse (211313313), we get a palindrome (524626425).

It can be divided in two parts, 31331 and 3112, that added together give a palindrome (34443).

The spelling of 313313112 in words is "three hundred thirteen million, three hundred thirteen thousand, one hundred twelve".