13321001320801 has 2 divisors, whose sum is σ = 13321001320802. Its totient is φ = 13321001320800.

The previous prime is 13321001320789. The next prime is 13321001320831. The reversal of 13321001320801 is 10802310012331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12005566659025 + 1315434661776 = 3464905^2 + 1146924^2 .

It is a cyclic number.

It is not a de Polignac number, because 13321001320801 - 2⁵ = 13321001320769 is a prime.

It is not a weakly prime, because it can be changed into another prime (13321001320831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660500660400 + 6660500660401.

It is an arithmetic number, because the mean of its divisors is an integer number (6660500660401).

Almost surely, 2^{13321001320801} is an apocalyptic number.

It is an amenable number.

13321001320801 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321001320801 is an equidigital number, since it uses as much as digits as its factorization.

13321001320801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 13321001320801 in words is "thirteen trillion, three hundred twenty-one billion, one million, three hundred twenty thousand, eight hundred one".