21021033160013 has 2 divisors, whose sum is σ = 21021033160014. Its totient is φ = 21021033160012.

The previous prime is 21021033160003. The next prime is 21021033160067. The reversal of 21021033160013 is 31006133012012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20004168650404 + 1016864509609 = 4472602^2 + 1008397^2 .

It is a cyclic number.

It is not a de Polignac number, because 21021033160013 - 2³⁴ = 21003853290829 is a prime.

It is a super-2 number, since 2×21021033160013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21021033160003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10510516580006 + 10510516580007.

It is an arithmetic number, because the mean of its divisors is an integer number (10510516580007).

Almost surely, 2^{21021033160013} is an apocalyptic number.

It is an amenable number.

21021033160013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21021033160013 is an equidigital number, since it uses as much as digits as its factorization.

21021033160013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 21021033160013 its reverse (31006133012012), we get a palindrome (52027166172025).

The spelling of 21021033160013 in words is "twenty-one trillion, twenty-one billion, thirty-three million, one hundred sixty thousand, thirteen".