321213442302013 has 2 divisors, whose sum is σ = 321213442302014. Its totient is φ = 321213442302012.

The previous prime is 321213442301989. The next prime is 321213442302097. The reversal of 321213442302013 is 310203244312123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 320810118235929 + 403324066084 = 17911173^2 + 635078^2 .

It is a cyclic number.

It is not a de Polignac number, because 321213442302013 - 2⁵ = 321213442301981 is a prime.

It is a super-3 number, since 3×321213442302013³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (321213442302713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160606721151006 + 160606721151007.

It is an arithmetic number, because the mean of its divisors is an integer number (160606721151007).

Almost surely, 2^{321213442302013} is an apocalyptic number.

It is an amenable number.

321213442302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

321213442302013 is an equidigital number, since it uses as much as digits as its factorization.

321213442302013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 321213442302013 its reverse (310203244312123), we get a palindrome (631416686614136).

The spelling of 321213442302013 in words is "three hundred twenty-one trillion, two hundred thirteen billion, four hundred forty-two million, three hundred two thousand, thirteen".