131323322211313 has 2 divisors, whose sum is σ = 131323322211314. Its totient is φ = 131323322211312.

The previous prime is 131323322211307. The next prime is 131323322211331. The reversal of 131323322211313 is 313112223323131.

Together with next prime (131323322211331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80891622276529 + 50431699934784 = 8993977^2 + 7101528^2 .

It is a cyclic number.

It is not a de Polignac number, because 131323322211313 - 2¹⁷ = 131323322080241 is a prime.

It is a super-3 number, since 3×131323322211313³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (131323322211373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65661661105656 + 65661661105657.

It is an arithmetic number, because the mean of its divisors is an integer number (65661661105657).

Almost surely, 2^{131323322211313} is an apocalyptic number.

It is an amenable number.

131323322211313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131323322211313 is an equidigital number, since it uses as much as digits as its factorization.

131323322211313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 31.

Adding to 131323322211313 its reverse (313112223323131), we get a palindrome (444435545534444).

The spelling of 131323322211313 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, three hundred twenty-two million, two hundred eleven thousand, three hundred thirteen".