13131321223313 has 2 divisors, whose sum is σ = 13131321223314. Its totient is φ = 13131321223312.

The previous prime is 13131321223303. The next prime is 13131321223343. The reversal of 13131321223313 is 31332212313131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9314502569089 + 3816818654224 = 3051967^2 + 1953668^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131321223313 - 2¹⁴ = 13131321206929 is a prime.

It is not a weakly prime, because it can be changed into another prime (13131321223303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565660611656 + 6565660611657.

It is an arithmetic number, because the mean of its divisors is an integer number (6565660611657).

Almost surely, 2^{13131321223313} is an apocalyptic number.

It is an amenable number.

13131321223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131321223313 is an equidigital number, since it uses as much as digits as its factorization.

13131321223313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 29.

Adding to 13131321223313 its reverse (31332212313131), we get a palindrome (44463533536444).

The spelling of 13131321223313 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred twenty-three thousand, three hundred thirteen".