13311121313209 has 2 divisors, whose sum is σ = 13311121313210. Its totient is φ = 13311121313208.

The previous prime is 13311121313099. The next prime is 13311121313249. The reversal of 13311121313209 is 90231312111331.

13311121313209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13280776718400 + 30344594809 = 3644280^2 + 174197^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13311121313209 is a prime.

It is a super-2 number, since 2×13311121313209² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13311121313249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655560656604 + 6655560656605.

It is an arithmetic number, because the mean of its divisors is an integer number (6655560656605).

Almost surely, 2^{13311121313209} is an apocalyptic number.

It is an amenable number.

13311121313209 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311121313209 is an equidigital number, since it uses as much as digits as its factorization.

13311121313209 is an evil number, because the sum of its binary digits is even.

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

The spelling of 13311121313209 in words is "thirteen trillion, three hundred eleven billion, one hundred twenty-one million, three hundred thirteen thousand, two hundred nine".