13000938533357 has 2 divisors, whose sum is σ = 13000938533358. Its totient is φ = 13000938533356.

The previous prime is 13000938533339. The next prime is 13000938533393. The reversal of 13000938533357 is 75333583900031.

13000938533357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8060227614916 + 4940710918441 = 2839054^2 + 2222771^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000938533357 - 2¹⁰ = 13000938532333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000938533657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500469266678 + 6500469266679.

It is an arithmetic number, because the mean of its divisors is an integer number (6500469266679).

Almost surely, 2^{13000938533357} is an apocalyptic number.

It is an amenable number.

13000938533357 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000938533357 is an equidigital number, since it uses as much as digits as its factorization.

13000938533357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3061800, while the sum is 50.

The spelling of 13000938533357 in words is "thirteen trillion, nine hundred thirty-eight million, five hundred thirty-three thousand, three hundred fifty-seven".