21302122221013 has 2 divisors, whose sum is σ = 21302122221014. Its totient is φ = 21302122221012.

The previous prime is 21302122220971. The next prime is 21302122221031. The reversal of 21302122221013 is 31012222120312.

Together with next prime (21302122221031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21224605638289 + 77516582724 = 4607017^2 + 278418^2 .

It is a cyclic number.

It is not a de Polignac number, because 21302122221013 - 2⁹ = 21302122220501 is a prime.

It is a super-2 number, since 2×21302122221013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21302122221073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10651061110506 + 10651061110507.

It is an arithmetic number, because the mean of its divisors is an integer number (10651061110507).

Almost surely, 2^{21302122221013} is an apocalyptic number.

It is an amenable number.

21302122221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21302122221013 is an equidigital number, since it uses as much as digits as its factorization.

21302122221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 21302122221013 its reverse (31012222120312), we get a palindrome (52314344341325).

The spelling of 21302122221013 in words is "twenty-one trillion, three hundred two billion, one hundred twenty-two million, two hundred twenty-one thousand, thirteen".