1012002000013 has 2 divisors, whose sum is σ = 1012002000014. Its totient is φ = 1012002000012.

The previous prime is 1012001999951. The next prime is 1012002000029. The reversal of 1012002000013 is 3100002002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 528117598089 + 483884401924 = 726717^2 + 695618^2 .

It is an emirp because it is prime and its reverse (3100002002101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1012002000013 - 2⁹ = 1012001999501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012002000043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506001000006 + 506001000007.

It is an arithmetic number, because the mean of its divisors is an integer number (506001000007).

Almost surely, 2^{1012002000013} is an apocalyptic number.

It is an amenable number.

1012002000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012002000013 is an equidigital number, since it uses as much as digits as its factorization.

1012002000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1012002000013 its reverse (3100002002101), we get a palindrome (4112004002114).

The spelling of 1012002000013 in words is "one trillion, twelve billion, two million, thirteen", and thus it is an aban number and an uban number.