13012905164009 has 2 divisors, whose sum is σ = 13012905164010. Its totient is φ = 13012905164008.

The previous prime is 13012905163991. The next prime is 13012905164011. The reversal of 13012905164009 is 90046150921031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10598097942784 + 2414807221225 = 3255472^2 + 1553965^2 .

It is a cyclic number.

It is not a de Polignac number, because 13012905164009 - 2³⁶ = 12944185687273 is a prime.

Together with 13012905164011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13012905164029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506452582004 + 6506452582005.

It is an arithmetic number, because the mean of its divisors is an integer number (6506452582005).

Almost surely, 2^{13012905164009} is an apocalyptic number.

It is an amenable number.

13012905164009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13012905164009 is an equidigital number, since it uses as much as digits as its factorization.

13012905164009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 41.

The spelling of 13012905164009 in words is "thirteen trillion, twelve billion, nine hundred five million, one hundred sixty-four thousand, nine".