313131315 has 48 divisors (see below), whose sum is σ = 608179968. Its totient is φ = 136914624.

The previous prime is 313131257. The next prime is 313131317. The reversal of 313131315 is 513131313.

It is not a de Polignac number, because 313131315 - 2⁶ = 313131251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 313131291 and 313131300.

It is not an unprimeable number, because it can be changed into a prime (313131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7644 + ... + 26166.

It is an arithmetic number, because the mean of its divisors is an integer number (12670416).

Almost surely, 2^313131315 is an apocalyptic number.

313131315 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

313131315 is a deficient number, since it is larger than the sum of its proper divisors (295048653).

313131315 is a wasteful number, since it uses less digits than its factorization.

313131315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18568 (or 18561 counting only the distinct ones).

The product of its digits is 405, while the sum is 21.

The square root of 313131315 is about 17695.5168051120. The cubic root of 313131315 is about 679.0610707815.

Adding to 313131315 its reverse (513131313), we get a palindrome (826262628).

The spelling of 313131315 in words is "three hundred thirteen million, one hundred thirty-one thousand, three hundred fifteen".