131311130312321 has 2 divisors, whose sum is σ = 131311130312322. Its totient is φ = 131311130312320.

The previous prime is 131311130312311. The next prime is 131311130312339. The reversal of 131311130312321 is 123213031113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129101861290000 + 2209269022321 = 11362300^2 + 1486361^2 .

It is a cyclic number.

It is not a de Polignac number, because 131311130312321 - 2²⁶ = 131311063203457 is a prime.

It is a super-2 number, since 2×131311130312321² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131311130312311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65655565156160 + 65655565156161.

It is an arithmetic number, because the mean of its divisors is an integer number (65655565156161).

Almost surely, 2^{131311130312321} is an apocalyptic number.

It is an amenable number.

131311130312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

131311130312321 is an equidigital number, since it uses as much as digits as its factorization.

131311130312321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 131311130312321 its reverse (123213031113131), we get a palindrome (254524161425452).

The spelling of 131311130312321 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred thirty million, three hundred twelve thousand, three hundred twenty-one".