21330022013 has 2 divisors, whose sum is σ = 21330022014. Its totient is φ = 21330022012.

The previous prime is 21330021991. The next prime is 21330022031. The reversal of 21330022013 is 31022003312.

Together with next prime (21330022031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14971235449 + 6358786564 = 122357^2 + 79742^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21330022013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21330021982 and 21330022000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21330022313) 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, 10665011006 + 10665011007.

It is an arithmetic number, because the mean of its divisors is an integer number (10665011007).

Almost surely, 2^21330022013 is an apocalyptic number.

It is an amenable number.

21330022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21330022013 is an equidigital number, since it uses as much as digits as its factorization.

21330022013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 21330022013 its reverse (31022003312), we get a palindrome (52352025325).

The spelling of 21330022013 in words is "twenty-one billion, three hundred thirty million, twenty-two thousand, thirteen".