1002106012013 has 2 divisors, whose sum is σ = 1002106012014. Its totient is φ = 1002106012012.

The previous prime is 1002106012001. The next prime is 1002106012021. The reversal of 1002106012013 is 3102106012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 684413707849 + 317692304164 = 827293^2 + 563642^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002106012013 - 2⁸ = 1002106011757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002106011982 and 1002106012000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002106032013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501053006006 + 501053006007.

It is an arithmetic number, because the mean of its divisors is an integer number (501053006007).

Almost surely, 2^{1002106012013} is an apocalyptic number.

It is an amenable number.

1002106012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002106012013 is an equidigital number, since it uses as much as digits as its factorization.

1002106012013 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 17.

The spelling of 1002106012013 in words is "one trillion, two billion, one hundred six million, twelve thousand, thirteen".