13101121322209 has 2 divisors, whose sum is σ = 13101121322210. Its totient is φ = 13101121322208.

The previous prime is 13101121322171. The next prime is 13101121322297. The reversal of 13101121322209 is 90222312110131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8934509574225 + 4166611747984 = 2989065^2 + 2041228^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101121322209 - 2⁹ = 13101121321697 is a prime.

It is not a weakly prime, because it can be changed into another prime (13101121322309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550560661104 + 6550560661105.

It is an arithmetic number, because the mean of its divisors is an integer number (6550560661105).

Almost surely, 2^{13101121322209} is an apocalyptic number.

It is an amenable number.

13101121322209 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101121322209 is an equidigital number, since it uses as much as digits as its factorization.

13101121322209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 13101121322209 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred nine".