313023312 has 160 divisors (see below), whose sum is σ = 1087430400. Its totient is φ = 84160512.

The previous prime is 313023311. The next prime is 313023313. The reversal of 313023312 is 213320313.

313023312 is a `hidden beast` number, since 31 + 302 + 331 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (313023311) and next prime (313023313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313023311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48364 + ... + 54452.

It is an arithmetic number, because the mean of its divisors is an integer number (6796440).

Almost surely, 2^313023312 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 313023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543715200).

313023312 is an abundant number, since it is smaller than the sum of its proper divisors (774407088).

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

313023312 is a wasteful number, since it uses less digits than its factorization.

313023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313023312 is about 17692.4648367603. The cubic root of 313023312 is about 678.9829895176.

Adding to 313023312 its reverse (213320313), we get a palindrome (526343625).

The spelling of 313023312 in words is "three hundred thirteen million, twenty-three thousand, three hundred twelve".