13221031001977 has 2 divisors, whose sum is σ = 13221031001978. Its totient is φ = 13221031001976.

The previous prime is 13221031001929. The next prime is 13221031002001. The reversal of 13221031001977 is 77910013012231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10238073690601 + 2982957311376 = 3199699^2 + 1727124^2 .

It is a cyclic number.

It is not a de Polignac number, because 13221031001977 - 2³⁵ = 13186671263609 is a prime.

It is not a weakly prime, because it can be changed into another prime (13221031071977) 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, 6610515500988 + 6610515500989.

It is an arithmetic number, because the mean of its divisors is an integer number (6610515500989).

Almost surely, 2^{13221031001977} is an apocalyptic number.

It is an amenable number.

13221031001977 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221031001977 is an equidigital number, since it uses as much as digits as its factorization.

13221031001977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 37.

The spelling of 13221031001977 in words is "thirteen trillion, two hundred twenty-one billion, thirty-one million, one thousand, nine hundred seventy-seven".