3131131313 has 2 divisors, whose sum is σ = 3131131314. Its totient is φ = 3131131312.

The previous prime is 3131131307. The next prime is 3131131369. The reversal of 3131131313 is 3131311313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3012582769 + 118548544 = 54887^2 + 10888^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131131313 - 2⁶ = 3131131249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3131131373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565565656 + 1565565657.

It is an arithmetic number, because the mean of its divisors is an integer number (1565565657).

Almost surely, 2^3131131313 is an apocalyptic number.

It is an amenable number.

3131131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131131313 is an equidigital number, since it uses as much as digits as its factorization.

3131131313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 243, while the sum is 20.

The square root of 3131131313 is about 55956.5126951278. The cubic root of 3131131313 is about 1462.9644080748.

Adding to 3131131313 its reverse (3131311313), we get a palindrome (6262442626).

The spelling of 3131131313 in words is "three billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred thirteen".