6313131313 has 2 divisors, whose sum is σ = 6313131314. Its totient is φ = 6313131312.

The previous prime is 6313131299. The next prime is 6313131359. The reversal of 6313131313 is 3131313136.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4865481009 + 1447650304 = 69753^2 + 38048^2 .

It is a cyclic number.

It is not a de Polignac number, because 6313131313 - 2⁹ = 6313130801 is a prime.

It is a super-2 number, since 2×6313131313² = 79711253950362207938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6313135313) 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 as a sum of consecutive naturals, namely, 3156565656 + 3156565657.

It is an arithmetic number, because the mean of its divisors is an integer number (3156565657).

Almost surely, 2^6313131313 is an apocalyptic number.

It is an amenable number.

6313131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

6313131313 is an equidigital number, since it uses as much as digits as its factorization.

6313131313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1458, while the sum is 25.

The square root of 6313131313 is about 79455.2157696397. The cubic root of 6313131313 is about 1848.1970565378.

Adding to 6313131313 its reverse (3131313136), we get a palindrome (9444444449).

The spelling of 6313131313 in words is "six billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".