2013129395317 has 2 divisors, whose sum is σ = 2013129395318. Its totient is φ = 2013129395316.

The previous prime is 2013129395309. The next prime is 2013129395323. The reversal of 2013129395317 is 7135939213102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1963700545041 + 49428850276 = 1401321^2 + 222326^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013129395317 - 2³ = 2013129395309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013129395327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006564697658 + 1006564697659.

It is an arithmetic number, because the mean of its divisors is an integer number (1006564697659).

Almost surely, 2^{2013129395317} is an apocalyptic number.

It is an amenable number.

2013129395317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013129395317 is an equidigital number, since it uses as much as digits as its factorization.

2013129395317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 306180, while the sum is 46.

The spelling of 2013129395317 in words is "two trillion, thirteen billion, one hundred twenty-nine million, three hundred ninety-five thousand, three hundred seventeen".