221221032222013 has 2 divisors, whose sum is σ = 221221032222014. Its totient is φ = 221221032222012.

The previous prime is 221221032221993. The next prime is 221221032222041. The reversal of 221221032222013 is 310222230122122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216463041058489 + 4757991163524 = 14712683^2 + 2181282^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221032222013 - 2¹⁷ = 221221032090941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221221032226013) 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, 110610516111006 + 110610516111007.

It is an arithmetic number, because the mean of its divisors is an integer number (110610516111007).

Almost surely, 2^{221221032222013} is an apocalyptic number.

It is an amenable number.

221221032222013 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221032222013 is an equidigital number, since it uses as much as digits as its factorization.

221221032222013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 221221032222013 its reverse (310222230122122), we get a palindrome (531443262344135).

The spelling of 221221032222013 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, thirty-two million, two hundred twenty-two thousand, thirteen".