13281827818289 has 2 divisors, whose sum is σ = 13281827818290. Its totient is φ = 13281827818288.

The previous prime is 13281827818267. The next prime is 13281827818291. The reversal of 13281827818289 is 98281872818231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8408793643264 + 4873034175025 = 2899792^2 + 2207495^2 .

It is a cyclic number.

It is not a de Polignac number, because 13281827818289 - 2⁸ = 13281827818033 is a prime.

Together with 13281827818291, 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 (13281827818789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6640913909144 + 6640913909145.

It is an arithmetic number, because the mean of its divisors is an integer number (6640913909145).

Almost surely, 2^{13281827818289} is an apocalyptic number.

It is an amenable number.

13281827818289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13281827818289 is an equidigital number, since it uses as much as digits as its factorization.

13281827818289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49545216, while the sum is 68.

The spelling of 13281827818289 in words is "thirteen trillion, two hundred eighty-one billion, eight hundred twenty-seven million, eight hundred eighteen thousand, two hundred eighty-nine".