21221122211213 has 2 divisors, whose sum is σ = 21221122211214. Its totient is φ = 21221122211212.

The previous prime is 21221122211173. The next prime is 21221122211251. The reversal of 21221122211213 is 31211222112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15865221035689 + 5355901175524 = 3983117^2 + 2314282^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221122211213 - 2³⁴ = 21203942342029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21221122210213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610561105606 + 10610561105607.

It is an arithmetic number, because the mean of its divisors is an integer number (10610561105607).

Almost surely, 2^{21221122211213} is an apocalyptic number.

It is an amenable number.

21221122211213 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221122211213 is an equidigital number, since it uses as much as digits as its factorization.

21221122211213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 23.

Adding to 21221122211213 its reverse (31211222112212), we get a palindrome (52432344323425).

Subtracting 21221122211213 from its reverse (31211222112212), we obtain a palindrome (9990099900999).

The spelling of 21221122211213 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred thirteen".