513131313 has 16 divisors (see below), whose sum is σ = 706954752. Its totient is φ = 330720000.

The previous prime is 513131303. The next prime is 513131317. The reversal of 513131313 is 313131315.

It is not a de Polignac number, because 513131313 - 2⁹ = 513130801 is a prime.

It is a super-2 number, since 2×513131313² = 526607488762207938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513131313.

It is not an unprimeable number, because it can be changed into a prime (513131317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118873 + ... + 123113.

It is an arithmetic number, because the mean of its divisors is an integer number (44184672).

Almost surely, 2^513131313 is an apocalyptic number.

It is an amenable number.

513131313 is a deficient number, since it is larger than the sum of its proper divisors (193823439).

513131313 is a wasteful number, since it uses less digits than its factorization.

513131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576.

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

The square root of 513131313 is about 22652.4019256237. The cubic root of 513131313 is about 800.5887920694.

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

The spelling of 513131313 in words is "five hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".