221000111211013 has 2 divisors, whose sum is σ = 221000111211014. Its totient is φ = 221000111211012.

The previous prime is 221000111210999. The next prime is 221000111211017. The reversal of 221000111211013 is 310112111000122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217749038967684 + 3251072243329 = 14756322^2 + 1803073^2 .

It is a cyclic number.

It is not a de Polignac number, because 221000111211013 - 2⁵ = 221000111210981 is a prime.

It is a super-2 number, since 2×221000111211013² (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 (221000111211017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500055605506 + 110500055605507.

It is an arithmetic number, because the mean of its divisors is an integer number (110500055605507).

Almost surely, 2^{221000111211013} is an apocalyptic number.

It is an amenable number.

221000111211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000111211013 is an equidigital number, since it uses as much as digits as its factorization.

221000111211013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 221000111211013 its reverse (310112111000122), we get a palindrome (531112222211135).

The spelling of 221000111211013 in words is "two hundred twenty-one trillion, one hundred eleven million, two hundred eleven thousand, thirteen".