13010013031117 has 2 divisors, whose sum is σ = 13010013031118. Its totient is φ = 13010013031116.

The previous prime is 13010013031051. The next prime is 13010013031181. The reversal of 13010013031117 is 71113031001031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12799321932996 + 210691098121 = 3577614^2 + 459011^2 .

It is an emirp because it is prime and its reverse (71113031001031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13010013031117 - 2¹⁵ = 13010012998349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13010013031187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6505006515558 + 6505006515559.

It is an arithmetic number, because the mean of its divisors is an integer number (6505006515559).

Almost surely, 2^{13010013031117} is an apocalyptic number.

It is an amenable number.

13010013031117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13010013031117 is an equidigital number, since it uses as much as digits as its factorization.

13010013031117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

Adding to 13010013031117 its reverse (71113031001031), we get a palindrome (84123044032148).

The spelling of 13010013031117 in words is "thirteen trillion, ten billion, thirteen million, thirty-one thousand, one hundred seventeen".