13021320133201 has 2 divisors, whose sum is σ = 13021320133202. Its totient is φ = 13021320133200.

The previous prime is 13021320133189. The next prime is 13021320133259. The reversal of 13021320133201 is 10233102312031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12565614129601 + 455706003600 = 3544801^2 + 675060^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021320133201 - 2²¹ = 13021318036049 is a prime.

It is a super-2 number, since 2×13021320133201² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13021320133271) 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, 6510660066600 + 6510660066601.

It is an arithmetic number, because the mean of its divisors is an integer number (6510660066601).

Almost surely, 2^{13021320133201} is an apocalyptic number.

It is an amenable number.

13021320133201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021320133201 is an equidigital number, since it uses as much as digits as its factorization.

13021320133201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13021320133201 its reverse (10233102312031), we get a palindrome (23254422445232).

The spelling of 13021320133201 in words is "thirteen trillion, twenty-one billion, three hundred twenty million, one hundred thirty-three thousand, two hundred one".