213321021013 has 2 divisors, whose sum is σ = 213321021014. Its totient is φ = 213321021012.

The previous prime is 213321021007. The next prime is 213321021077. The reversal of 213321021013 is 310120123312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 173369806129 + 39951214884 = 416377^2 + 199878^2 .

It is a cyclic number.

It is not a de Polignac number, because 213321021013 - 2⁵ = 213321020981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213321621013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106660510506 + 106660510507.

It is an arithmetic number, because the mean of its divisors is an integer number (106660510507).

Almost surely, 2^213321021013 is an apocalyptic number.

It is an amenable number.

213321021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213321021013 is an equidigital number, since it uses as much as digits as its factorization.

213321021013 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 19.

Adding to 213321021013 its reverse (310120123312), we get a palindrome (523441144325).

The spelling of 213321021013 in words is "two hundred thirteen billion, three hundred twenty-one million, twenty-one thousand, thirteen".