13021322333081 has 2 divisors, whose sum is σ = 13021322333082. Its totient is φ = 13021322333080.

The previous prime is 13021322332979. The next prime is 13021322333203. The reversal of 13021322333081 is 18033322312031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7780244697481 + 5241077635600 = 2789309^2 + 2289340^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021322333081 - 2³⁰ = 13020248591257 is a prime.

It is a super-2 number, since 2×13021322333081² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13021322333681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510661166540 + 6510661166541.

It is an arithmetic number, because the mean of its divisors is an integer number (6510661166541).

Almost surely, 2^{13021322333081} is an apocalyptic number.

It is an amenable number.

13021322333081 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021322333081 is an equidigital number, since it uses as much as digits as its factorization.

13021322333081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 13021322333081 in words is "thirteen trillion, twenty-one billion, three hundred twenty-two million, three hundred thirty-three thousand, eighty-one".