22131311311309 has 2 divisors, whose sum is σ = 22131311311310. Its totient is φ = 22131311311308.

The previous prime is 22131311311247. The next prime is 22131311311339. The reversal of 22131311311309 is 90311311313122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14809297441225 + 7322013870084 = 3848285^2 + 2705922^2 .

It is a cyclic number.

It is not a de Polignac number, because 22131311311309 - 2⁷ = 22131311311181 is a prime.

It is a super-2 number, since 2×22131311311309² (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 (22131311311339) 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, 11065655655654 + 11065655655655.

It is an arithmetic number, because the mean of its divisors is an integer number (11065655655655).

Almost surely, 2^{22131311311309} is an apocalyptic number.

It is an amenable number.

22131311311309 is a deficient number, since it is larger than the sum of its proper divisors (1).

22131311311309 is an equidigital number, since it uses as much as digits as its factorization.

22131311311309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 22131311311309 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred eleven million, three hundred eleven thousand, three hundred nine".