13310122310209 has 2 divisors, whose sum is σ = 13310122310210. Its totient is φ = 13310122310208.

The previous prime is 13310122310203. The next prime is 13310122310267. The reversal of 13310122310209 is 90201322101331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12965242129984 + 344880180225 = 3600728^2 + 587265^2 .

It is a cyclic number.

It is not a de Polignac number, because 13310122310209 - 2³¹ = 13307974826561 is a prime.

It is not a weakly prime, because it can be changed into another prime (13310122310203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655061155104 + 6655061155105.

It is an arithmetic number, because the mean of its divisors is an integer number (6655061155105).

Almost surely, 2^{13310122310209} is an apocalyptic number.

It is an amenable number.

13310122310209 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310122310209 is an equidigital number, since it uses as much as digits as its factorization.

13310122310209 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 28.

The spelling of 13310122310209 in words is "thirteen trillion, three hundred ten billion, one hundred twenty-two million, three hundred ten thousand, two hundred nine".