22312101311309 has 2 divisors, whose sum is σ = 22312101311310. Its totient is φ = 22312101311308.

The previous prime is 22312101311287. The next prime is 22312101311323. The reversal of 22312101311309 is 90311310121322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20846730535684 + 1465370775625 = 4565822^2 + 1210525^2 .

It is a cyclic number.

It is not a de Polignac number, because 22312101311309 - 2³⁶ = 22243381834573 is a prime.

It is a super-3 number, since 3×22312101311309³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22312101311329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11156050655654 + 11156050655655.

It is an arithmetic number, because the mean of its divisors is an integer number (11156050655655).

Almost surely, 2^{22312101311309} is an apocalyptic number.

It is an amenable number.

22312101311309 is a deficient number, since it is larger than the sum of its proper divisors (1).

22312101311309 is an equidigital number, since it uses as much as digits as its factorization.

22312101311309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 22312101311309 in words is "twenty-two trillion, three hundred twelve billion, one hundred one million, three hundred eleven thousand, three hundred nine".