21330332310013 has 2 divisors, whose sum is σ = 21330332310014. Its totient is φ = 21330332310012.

The previous prime is 21330332310011. The next prime is 21330332310029. The reversal of 21330332310013 is 31001323303312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21158693620164 + 171638689849 = 4599858^2 + 414293^2 .

It is a cyclic number.

It is not a de Polignac number, because 21330332310013 - 2¹ = 21330332310011 is a prime.

Together with 21330332310011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 21330332310013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21330332310011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10665166155006 + 10665166155007.

It is an arithmetic number, because the mean of its divisors is an integer number (10665166155007).

Almost surely, 2^{21330332310013} is an apocalyptic number.

It is an amenable number.

21330332310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21330332310013 is an equidigital number, since it uses as much as digits as its factorization.

21330332310013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 21330332310013 its reverse (31001323303312), we get a palindrome (52331655613325).

The spelling of 21330332310013 in words is "twenty-one trillion, three hundred thirty billion, three hundred thirty-two million, three hundred ten thousand, thirteen".