321113320013 has 2 divisors, whose sum is σ = 321113320014. Its totient is φ = 321113320012.

The previous prime is 321113320001. The next prime is 321113320037. The reversal of 321113320013 is 310023311123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239040810724 + 82072509289 = 488918^2 + 286483^2 .

It is a cyclic number.

It is not a de Polignac number, because 321113320013 - 2²² = 321109125709 is a prime.

It is a super-3 number, since 3×321113320013³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (321113320043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160556660006 + 160556660007.

It is an arithmetic number, because the mean of its divisors is an integer number (160556660007).

Almost surely, 2^321113320013 is an apocalyptic number.

It is an amenable number.

321113320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

321113320013 is an equidigital number, since it uses as much as digits as its factorization.

321113320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 321113320013 its reverse (310023311123), we get a palindrome (631136631136).

The spelling of 321113320013 in words is "three hundred twenty-one billion, one hundred thirteen million, three hundred twenty thousand, thirteen".