13302123220081 has 2 divisors, whose sum is σ = 13302123220082. Its totient is φ = 13302123220080.

The previous prime is 13302123219991. The next prime is 13302123220123. The reversal of 13302123220081 is 18002232120331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12947878035856 + 354245184225 = 3598316^2 + 595185^2 .

It is a cyclic number.

It is not a de Polignac number, because 13302123220081 - 2¹³ = 13302123211889 is a prime.

It is a super-2 number, since 2×13302123220081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13302123220681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6651061610040 + 6651061610041.

It is an arithmetic number, because the mean of its divisors is an integer number (6651061610041).

Almost surely, 2^{13302123220081} is an apocalyptic number.

It is an amenable number.

13302123220081 is a deficient number, since it is larger than the sum of its proper divisors (1).

13302123220081 is an equidigital number, since it uses as much as digits as its factorization.

13302123220081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 13302123220081 in words is "thirteen trillion, three hundred two billion, one hundred twenty-three million, two hundred twenty thousand, eighty-one".