131412334113329 has 2 divisors, whose sum is σ = 131412334113330. Its totient is φ = 131412334113328.

The previous prime is 131412334113323. The next prime is 131412334113373. The reversal of 131412334113329 is 923311433214131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72778779978304 + 58633554135025 = 8531048^2 + 7657255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131412334113329 is a prime.

It is a super-2 number, since 2×131412334113329² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131412334113323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706167056664 + 65706167056665.

It is an arithmetic number, because the mean of its divisors is an integer number (65706167056665).

Almost surely, 2^{131412334113329} is an apocalyptic number.

It is an amenable number.

131412334113329 is a deficient number, since it is larger than the sum of its proper divisors (1).

131412334113329 is an equidigital number, since it uses as much as digits as its factorization.

131412334113329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139968, while the sum is 41.

The spelling of 131412334113329 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-four million, one hundred thirteen thousand, three hundred twenty-nine".