13081623274529 has 2 divisors, whose sum is σ = 13081623274530. Its totient is φ = 13081623274528.

The previous prime is 13081623274501. The next prime is 13081623274649. The reversal of 13081623274529 is 92547232618031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10961827048225 + 2119796226304 = 3310865^2 + 1455952^2 .

It is an emirp because it is prime and its reverse (92547232618031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13081623274529 - 2²⁰ = 13081622225953 is a prime.

It is a super-2 number, since 2×13081623274529² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13081623276529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6540811637264 + 6540811637265.

It is an arithmetic number, because the mean of its divisors is an integer number (6540811637265).

It is a 1-persistent number, because it is pandigital, but 2⋅13081623274529 = 26163246549058 is not.

Almost surely, 2^{13081623274529} is an apocalyptic number.

It is an amenable number.

13081623274529 is a deficient number, since it is larger than the sum of its proper divisors (1).

13081623274529 is an equidigital number, since it uses as much as digits as its factorization.

13081623274529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 13081623274529 in words is "thirteen trillion, eighty-one billion, six hundred twenty-three million, two hundred seventy-four thousand, five hundred twenty-nine".