313312302 has 96 divisors (see below), whose sum is σ = 733224960. Its totient is φ = 96465600.

The previous prime is 313312297. The next prime is 313312303. The reversal of 313312302 is 203213313.

313312302 is a `hidden beast` number, since 31 + 331 + 2 + 302 = 666.

313312302 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (313312303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2466963 + ... + 2467089.

It is an arithmetic number, because the mean of its divisors is an integer number (7637760).

Almost surely, 2^313312302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313312302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366612480).

313312302 is an abundant number, since it is smaller than the sum of its proper divisors (419912658).

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

313312302 is a wasteful number, since it uses less digits than its factorization.

313312302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 315 counting only the distinct ones).

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

The square root of 313312302 is about 17700.6299887885. The cubic root of 313312302 is about 679.1918759199.

Adding to 313312302 its reverse (203213313), we get a palindrome (516525615).

It can be divided in two parts, 31331 and 2302, that added together give a palindrome (33633).

The spelling of 313312302 in words is "three hundred thirteen million, three hundred twelve thousand, three hundred two".