13311012134009 has 2 divisors, whose sum is σ = 13311012134010. Its totient is φ = 13311012134008.

The previous prime is 13311012133973. The next prime is 13311012134041. The reversal of 13311012134009 is 90043121011331.

It is a happy number.

13311012134009 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., 11931691075984 + 1379321058025 = 3454228^2 + 1174445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13311012134009 is a prime.

It is not a weakly prime, because it can be changed into another prime (13311012134809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655506067004 + 6655506067005.

It is an arithmetic number, because the mean of its divisors is an integer number (6655506067005).

Almost surely, 2^{13311012134009} is an apocalyptic number.

It is an amenable number.

13311012134009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311012134009 is an equidigital number, since it uses as much as digits as its factorization.

13311012134009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 13311012134009 in words is "thirteen trillion, three hundred eleven billion, twelve million, one hundred thirty-four thousand, nine".