313088112 has 120 divisors (see below), whose sum is σ = 921868080. Its totient is φ = 101710080.

The previous prime is 313088107. The next prime is 313088131. The reversal of 313088112 is 211880313.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2872314 + ... + 2872422.

It is an arithmetic number, because the mean of its divisors is an integer number (7682234).

Almost surely, 2^313088112 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 313088112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460934040).

313088112 is an abundant number, since it is smaller than the sum of its proper divisors (608779968).

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

313088112 is a wasteful number, since it uses less digits than its factorization.

313088112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 313088112 is about 17694.2960300770. The cubic root of 313088112 is about 679.0298391295.

The spelling of 313088112 in words is "three hundred thirteen million, eighty-eight thousand, one hundred twelve".