1002001021313 has 2 divisors, whose sum is σ = 1002001021314. Its totient is φ = 1002001021312.

The previous prime is 1002001021297. The next prime is 1002001021337. The reversal of 1002001021313 is 3131201002001.

1002001021313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 658097357824 + 343903663489 = 811232^2 + 586433^2 .

It is an emirp because it is prime and its reverse (3131201002001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002001021313 - 2⁴ = 1002001021297 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002001021393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501000510656 + 501000510657.

It is an arithmetic number, because the mean of its divisors is an integer number (501000510657).

Almost surely, 2^{1002001021313} is an apocalyptic number.

It is an amenable number.

1002001021313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002001021313 is an equidigital number, since it uses as much as digits as its factorization.

1002001021313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1002001021313 its reverse (3131201002001), we get a palindrome (4133202023314).

The spelling of 1002001021313 in words is "one trillion, two billion, one million, twenty-one thousand, three hundred thirteen".