21002221012013 has 2 divisors, whose sum is σ = 21002221012014. Its totient is φ = 21002221012012.

The previous prime is 21002221011991. The next prime is 21002221012051. The reversal of 21002221012013 is 31021012220012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14701910170249 + 6300310841764 = 3834307^2 + 2510042^2 .

It is a cyclic number.

It is not a de Polignac number, because 21002221012013 - 2¹² = 21002221007917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21002221011982 and 21002221012000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21002221012063) 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, 10501110506006 + 10501110506007.

It is an arithmetic number, because the mean of its divisors is an integer number (10501110506007).

Almost surely, 2^{21002221012013} is an apocalyptic number.

It is an amenable number.

21002221012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21002221012013 is an equidigital number, since it uses as much as digits as its factorization.

21002221012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 21002221012013 its reverse (31021012220012), we get a palindrome (52023233232025).

The spelling of 21002221012013 in words is "twenty-one trillion, two billion, two hundred twenty-one million, twelve thousand, thirteen".