13085655809969 has 2 divisors, whose sum is σ = 13085655809970. Its totient is φ = 13085655809968.

The previous prime is 13085655809909. The next prime is 13085655810001. The reversal of 13085655809969 is 96990855658031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13021993960000 + 63661849969 = 3608600^2 + 252313^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13085655809969 is a prime.

It is a super-2 number, since 2×13085655809969² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13085655809896 and 13085655809905.

It is not a weakly prime, because it can be changed into another prime (13085655809909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6542827904984 + 6542827904985.

It is an arithmetic number, because the mean of its divisors is an integer number (6542827904985).

Almost surely, 2^{13085655809969} is an apocalyptic number.

It is an amenable number.

13085655809969 is a deficient number, since it is larger than the sum of its proper divisors (1).

13085655809969 is an equidigital number, since it uses as much as digits as its factorization.

13085655809969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 629856000, while the sum is 74.

The spelling of 13085655809969 in words is "thirteen trillion, eighty-five billion, six hundred fifty-five million, eight hundred nine thousand, nine hundred sixty-nine".