21000200002013 has 2 divisors, whose sum is σ = 21000200002014. Its totient is φ = 21000200002012.

The previous prime is 21000200002003. The next prime is 21000200002043. The reversal of 21000200002013 is 31020000200012.

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., 14621958833689 + 6378241168324 = 3823867^2 + 2525518^2 .

It is a cyclic number.

It is not a de Polignac number, because 21000200002013 - 2²⁸ = 20999931566557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21000200001985 and 21000200002003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21000200002003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500100001006 + 10500100001007.

It is an arithmetic number, because the mean of its divisors is an integer number (10500100001007).

Almost surely, 2^{21000200002013} is an apocalyptic number.

It is an amenable number.

21000200002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000200002013 is an equidigital number, since it uses as much as digits as its factorization.

21000200002013 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 21000200002013 its reverse (31020000200012), we get a palindrome (52020200202025).

The spelling of 21000200002013 in words is "twenty-one trillion, two hundred million, two thousand, thirteen".