13102122023209 has 2 divisors, whose sum is σ = 13102122023210. Its totient is φ = 13102122023208.

The previous prime is 13102122023203. The next prime is 13102122023297. The reversal of 13102122023209 is 90232022120131.

13102122023209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9458115914025 + 3644006109184 = 3075405^2 + 1908928^2 .

It is an emirp because it is prime and its reverse (90232022120131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13102122023209 - 2⁴¹ = 10903098767657 is a prime.

It is a super-2 number, since 2×13102122023209² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13102122023203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6551061011604 + 6551061011605.

It is an arithmetic number, because the mean of its divisors is an integer number (6551061011605).

Almost surely, 2^{13102122023209} is an apocalyptic number.

It is an amenable number.

13102122023209 is a deficient number, since it is larger than the sum of its proper divisors (1).

13102122023209 is an equidigital number, since it uses as much as digits as its factorization.

13102122023209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 13102122023209 in words is "thirteen trillion, one hundred two billion, one hundred twenty-two million, twenty-three thousand, two hundred nine".