13101208006009 has 2 divisors, whose sum is σ = 13101208006010. Its totient is φ = 13101208006008.

The previous prime is 13101208005989. The next prime is 13101208006013. The reversal of 13101208006009 is 90060080210131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10906321310784 + 2194886695225 = 3302472^2 + 1481515^2 .

It is an emirp because it is prime and its reverse (90060080210131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13101208006009 - 2⁷ = 13101208005881 is a prime.

It is not a weakly prime, because it can be changed into another prime (13101208007009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550604003004 + 6550604003005.

It is an arithmetic number, because the mean of its divisors is an integer number (6550604003005).

Almost surely, 2^{13101208006009} is an apocalyptic number.

It is an amenable number.

13101208006009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101208006009 is an equidigital number, since it uses as much as digits as its factorization.

13101208006009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 13101208006009 in words is "thirteen trillion, one hundred one billion, two hundred eight million, six thousand, nine".