13313221322081 has 2 divisors, whose sum is σ = 13313221322082. Its totient is φ = 13313221322080.

The previous prime is 13313221322059. The next prime is 13313221322087. The reversal of 13313221322081 is 18022312231331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10625539779856 + 2687681542225 = 3259684^2 + 1639415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13313221322081 is a prime.

It is a super-2 number, since 2×13313221322081² (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 (13313221322087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656610661040 + 6656610661041.

It is an arithmetic number, because the mean of its divisors is an integer number (6656610661041).

Almost surely, 2^{13313221322081} is an apocalyptic number.

It is an amenable number.

13313221322081 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313221322081 is an equidigital number, since it uses as much as digits as its factorization.

13313221322081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 13313221322081 in words is "thirteen trillion, three hundred thirteen billion, two hundred twenty-one million, three hundred twenty-two thousand, eighty-one".