13021333201057 has 2 divisors, whose sum is σ = 13021333201058. Its totient is φ = 13021333201056.

The previous prime is 13021333201013. The next prime is 13021333201081. The reversal of 13021333201057 is 75010233312031.

13021333201057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11798647927056 + 1222685274001 = 3434916^2 + 1105751^2 .

It is an emirp because it is prime and its reverse (75010233312031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13021333201057 - 2²⁷ = 13021198983329 is a prime.

It is not a weakly prime, because it can be changed into another prime (13021333202057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510666600528 + 6510666600529.

It is an arithmetic number, because the mean of its divisors is an integer number (6510666600529).

Almost surely, 2^{13021333201057} is an apocalyptic number.

It is an amenable number.

13021333201057 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021333201057 is an equidigital number, since it uses as much as digits as its factorization.

13021333201057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 31.

Adding to 13021333201057 its reverse (75010233312031), we get a palindrome (88031566513088).

The spelling of 13021333201057 in words is "thirteen trillion, twenty-one billion, three hundred thirty-three million, two hundred one thousand, fifty-seven".