21202002001013 has 2 divisors, whose sum is σ = 21202002001014. Its totient is φ = 21202002001012.

The previous prime is 21202002001009. The next prime is 21202002001031. The reversal of 21202002001013 is 31010020020212.

It is a happy number.

Together with next prime (21202002001031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12784071532324 + 8417930468689 = 3575482^2 + 2901367^2 .

It is a cyclic number.

It is not a de Polignac number, because 21202002001013 - 2² = 21202002001009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21202002001813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10601001000506 + 10601001000507.

It is an arithmetic number, because the mean of its divisors is an integer number (10601001000507).

Almost surely, 2^{21202002001013} is an apocalyptic number.

It is an amenable number.

21202002001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21202002001013 is an equidigital number, since it uses as much as digits as its factorization.

21202002001013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21202002001013 its reverse (31010020020212), we get a palindrome (52212022021225).

The spelling of 21202002001013 in words is "twenty-one trillion, two hundred two billion, two million, one thousand, thirteen".