13103131313 has 2 divisors, whose sum is σ = 13103131314. Its totient is φ = 13103131312.

The previous prime is 13103131229. The next prime is 13103131333. The reversal of 13103131313 is 31313130131.

It is an a-pointer prime, because the next prime (13103131333) can be obtained adding 13103131313 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9402599089 + 3700532224 = 96967^2 + 60832^2 .

It is a cyclic number.

It is not a de Polignac number, because 13103131313 - 2²⁰ = 13102082737 is a prime.

It is a super-2 number, since 2×13103131313² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13103131333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6551565656 + 6551565657.

It is an arithmetic number, because the mean of its divisors is an integer number (6551565657).

Almost surely, 2^13103131313 is an apocalyptic number.

It is an amenable number.

13103131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13103131313 is an equidigital number, since it uses as much as digits as its factorization.

13103131313 is an odious number, because the sum of its binary digits is odd.

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

Adding to 13103131313 its reverse (31313130131), we get a palindrome (44416261444).

The spelling of 13103131313 in words is "thirteen billion, one hundred three million, one hundred thirty-one thousand, three hundred thirteen".