13800000013 has 2 divisors, whose sum is σ = 13800000014. Its totient is φ = 13800000012.

The previous prime is 13799999989. The next prime is 13800000031. The reversal of 13800000013 is 31000000831.

Together with next prime (13800000031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7176970089 + 6623029924 = 84717^2 + 81382^2 .

It is an emirp because it is prime and its reverse (31000000831) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13800000013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13800000073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6900000006 + 6900000007.

It is an arithmetic number, because the mean of its divisors is an integer number (6900000007).

Almost surely, 2^13800000013 is an apocalyptic number.

It is an amenable number.

13800000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13800000013 is an equidigital number, since it uses as much as digits as its factorization.

13800000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13800000013 its reverse (31000000831), we get a palindrome (44800000844).

The spelling of 13800000013 in words is "thirteen billion, eight hundred million, thirteen", and thus it is an aban number.