13122212313109 has 2 divisors, whose sum is σ = 13122212313110. Its totient is φ = 13122212313108.

The previous prime is 13122212313017. The next prime is 13122212313169. The reversal of 13122212313109 is 90131321222131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12640406962225 + 481805350884 = 3555335^2 + 694122^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122212313109 - 2¹⁵ = 13122212280341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122212313169) 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, 6561106156554 + 6561106156555.

It is an arithmetic number, because the mean of its divisors is an integer number (6561106156555).

Almost surely, 2^{13122212313109} is an apocalyptic number.

It is an amenable number.

13122212313109 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122212313109 is an equidigital number, since it uses as much as digits as its factorization.

13122212313109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 13122212313109 in words is "thirteen trillion, one hundred twenty-two billion, two hundred twelve million, three hundred thirteen thousand, one hundred nine".