22121311361 has 2 divisors, whose sum is σ = 22121311362. Its totient is φ = 22121311360.

The previous prime is 22121311313. The next prime is 22121311363. The reversal of 22121311361 is 16311312122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11257210000 + 10864101361 = 106100^2 + 104231^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121311361 - 2¹⁸ = 22121049217 is a prime.

Together with 22121311363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22121311363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060655680 + 11060655681.

It is an arithmetic number, because the mean of its divisors is an integer number (11060655681).

Almost surely, 2^22121311361 is an apocalyptic number.

It is an amenable number.

22121311361 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121311361 is an equidigital number, since it uses as much as digits as its factorization.

22121311361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 23.

Adding to 22121311361 its reverse (16311312122), we get a palindrome (38432623483).

The spelling of 22121311361 in words is "twenty-two billion, one hundred twenty-one million, three hundred eleven thousand, three hundred sixty-one".