313321365 has 160 divisors (see below), whose sum is σ = 688596480. Its totient is φ = 133249536.

The previous prime is 313321363. The next prime is 313321397. The reversal of 313321365 is 563123313.

It is a happy number.

It is not a de Polignac number, because 313321365 - 2¹ = 313321363 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313321361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3041904 + ... + 3042006.

It is an arithmetic number, because the mean of its divisors is an integer number (4303728).

Almost surely, 2^313321365 is an apocalyptic number.

313321365 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

313321365 is an abundant number, since it is smaller than the sum of its proper divisors (375275115).

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

313321365 is a wasteful number, since it uses less digits than its factorization.

313321365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 313321365 is about 17700.8859947744. The cubic root of 313321365 is about 679.1984247176.

Adding to 313321365 its reverse (563123313), we get a palindrome (876444678).

The spelling of 313321365 in words is "three hundred thirteen million, three hundred twenty-one thousand, three hundred sixty-five".