131302321313321 has 2 divisors, whose sum is σ = 131302321313322. Its totient is φ = 131302321313320.

The previous prime is 131302321313309. The next prime is 131302321313323. The reversal of 131302321313321 is 123313123203131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126282642378025 + 5019678935296 = 11237555^2 + 2240464^2 .

It is a cyclic number.

It is not a de Polignac number, because 131302321313321 - 2³⁴ = 131285141444137 is a prime.

Together with 131302321313323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131302321313323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65651160656660 + 65651160656661.

It is an arithmetic number, because the mean of its divisors is an integer number (65651160656661).

Almost surely, 2^{131302321313321} is an apocalyptic number.

It is an amenable number.

131302321313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

131302321313321 is an equidigital number, since it uses as much as digits as its factorization.

131302321313321 is an evil number, because the sum of its binary digits is even.

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

Adding to 131302321313321 its reverse (123313123203131), we get a palindrome (254615444516452).

The spelling of 131302321313321 in words is "one hundred thirty-one trillion, three hundred two billion, three hundred twenty-one million, three hundred thirteen thousand, three hundred twenty-one".