13384338557017 has 2 divisors, whose sum is σ = 13384338557018. Its totient is φ = 13384338557016.

The previous prime is 13384338556997. The next prime is 13384338557089. The reversal of 13384338557017 is 71075583348331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8285756493001 + 5098582064016 = 2878499^2 + 2258004^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13384338557017 is a prime.

It is not a weakly prime, because it can be changed into another prime (13384338057017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6692169278508 + 6692169278509.

It is an arithmetic number, because the mean of its divisors is an integer number (6692169278509).

Almost surely, 2^{13384338557017} is an apocalyptic number.

It is an amenable number.

13384338557017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13384338557017 is an equidigital number, since it uses as much as digits as its factorization.

13384338557017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 13384338557017 in words is "thirteen trillion, three hundred eighty-four billion, three hundred thirty-eight million, five hundred fifty-seven thousand, seventeen".