6513131313 has 24 divisors (see below), whose sum is σ = 10145308992. Its totient is φ = 4002632928.

The previous prime is 6513131311. The next prime is 6513131327. The reversal of 6513131313 is 3131313156.

6513131313 is a `hidden beast` number, since 6 + 513 + 13 + 131 + 3 = 666.

It is not a de Polignac number, because 6513131313 - 2¹ = 6513131311 is a prime.

It is a super-2 number, since 2×6513131313² = 84841759000762207938, which contains 22 as substring.

6513131313 is a modest number, since divided by 131313 gives 6513 as remainder.

It is not an unprimeable number, because it can be changed into a prime (6513131311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49470 + ... + 124392.

It is an arithmetic number, because the mean of its divisors is an integer number (422721208).

Almost surely, 2^6513131313 is an apocalyptic number.

It is an amenable number.

6513131313 is a deficient number, since it is larger than the sum of its proper divisors (3632177679).

6513131313 is a wasteful number, since it uses less digits than its factorization.

6513131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75685 (or 75682 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 6513131313 is about 80703.9733408461. The cubic root of 6513131313 is about 1867.5114708198.

Adding to 6513131313 its reverse (3131313156), we get a palindrome (9644444469).

The spelling of 6513131313 in words is "six billion, five hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".