13363383870593 has 2 divisors, whose sum is σ = 13363383870594. Its totient is φ = 13363383870592.

The previous prime is 13363383870563. The next prime is 13363383870611. The reversal of 13363383870593 is 39507838336331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10290192555889 + 3073191314704 = 3207833^2 + 1753052^2 .

It is a cyclic number.

It is not a de Polignac number, because 13363383870593 - 2³⁴ = 13346204001409 is a prime.

It is not a weakly prime, because it can be changed into another prime (13363383870563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6681691935296 + 6681691935297.

It is an arithmetic number, because the mean of its divisors is an integer number (6681691935297).

Almost surely, 2^{13363383870593} is an apocalyptic number.

It is an amenable number.

13363383870593 is a deficient number, since it is larger than the sum of its proper divisors (1).

13363383870593 is an equidigital number, since it uses as much as digits as its factorization.

13363383870593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88179840, while the sum is 62.

The spelling of 13363383870593 in words is "thirteen trillion, three hundred sixty-three billion, three hundred eighty-three million, eight hundred seventy thousand, five hundred ninety-three".