18000003000013 has 2 divisors, whose sum is σ = 18000003000014. Its totient is φ = 18000003000012.

The previous prime is 18000002999983. The next prime is 18000003000029. The reversal of 18000003000013 is 31000030000081.

It is an a-pointer prime, because the next prime (18000003000029) can be obtained adding 18000003000013 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11693541054724 + 6306461945289 = 3419582^2 + 2511267^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-18000003000013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18000003000713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9000001500006 + 9000001500007.

It is an arithmetic number, because the mean of its divisors is an integer number (9000001500007).

Almost surely, 2^{18000003000013} is an apocalyptic number.

It is an amenable number.

18000003000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

18000003000013 is an equidigital number, since it uses as much as digits as its factorization.

18000003000013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 18000003000013 its reverse (31000030000081), we get a palindrome (49000033000094).

The spelling of 18000003000013 in words is "eighteen trillion, three million, thirteen", and thus it is an aban number and an uban number.