13384338557089 has 2 divisors, whose sum is σ = 13384338557090. Its totient is φ = 13384338557088.

The previous prime is 13384338557017. The next prime is 13384338557159. The reversal of 13384338557089 is 98075583348331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12591852250000 + 792486307089 = 3548500^2 + 890217^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13384338557089 is a prime.

It is a super-2 number, since 2×13384338557089² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13384338057089) 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, 6692169278544 + 6692169278545.

It is an arithmetic number, because the mean of its divisors is an integer number (6692169278545).

Almost surely, 2^{13384338557089} is an apocalyptic number.

It is an amenable number.

13384338557089 is a deficient number, since it is larger than the sum of its proper divisors (1).

13384338557089 is an equidigital number, since it uses as much as digits as its factorization.

13384338557089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 261273600, while the sum is 67.

The spelling of 13384338557089 in words is "thirteen trillion, three hundred eighty-four billion, three hundred thirty-eight million, five hundred fifty-seven thousand, eighty-nine".