10002000202013 has 2 divisors, whose sum is σ = 10002000202014. Its totient is φ = 10002000202012.

The previous prime is 10002000201983. The next prime is 10002000202057. The reversal of 10002000202013 is 31020200020001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9999243216964 + 2756985049 = 3162158^2 + 52507^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002000202013 - 2²⁰ = 10001999153437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002000201985 and 10002000202003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002000232013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001000101006 + 5001000101007.

It is an arithmetic number, because the mean of its divisors is an integer number (5001000101007).

Almost surely, 2^{10002000202013} is an apocalyptic number.

It is an amenable number.

10002000202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002000202013 is an equidigital number, since it uses as much as digits as its factorization.

10002000202013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10002000202013 its reverse (31020200020001), we get a palindrome (41022200222014).

The spelling of 10002000202013 in words is "ten trillion, two billion, two hundred two thousand, thirteen".