221220020211013 has 2 divisors, whose sum is σ = 221220020211014. Its totient is φ = 221220020211012.

The previous prime is 221220020210989. The next prime is 221220020211017. The reversal of 221220020211013 is 310112020022122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216842794689889 + 4377225521124 = 14725583^2 + 2092182^2 .

It is a cyclic number.

It is not a de Polignac number, because 221220020211013 - 2²⁹ = 221219483340101 is a prime.

It is a super-2 number, since 2×221220020211013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221220020211017) 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, 110610010105506 + 110610010105507.

It is an arithmetic number, because the mean of its divisors is an integer number (110610010105507).

Almost surely, 2^{221220020211013} is an apocalyptic number.

It is an amenable number.

221220020211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

221220020211013 is an equidigital number, since it uses as much as digits as its factorization.

221220020211013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 221220020211013 its reverse (310112020022122), we get a palindrome (531332040233135).

The spelling of 221220020211013 in words is "two hundred twenty-one trillion, two hundred twenty billion, twenty million, two hundred eleven thousand, thirteen".