321301334121221 has 2 divisors, whose sum is σ = 321301334121222. Its totient is φ = 321301334121220.

The previous prime is 321301334121199. The next prime is 321301334121227. The reversal of 321301334121221 is 122121433103123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 260133512109025 + 61167822012196 = 16128655^2 + 7820986^2 .

It is a cyclic number.

It is not a de Polignac number, because 321301334121221 - 2¹⁴ = 321301334104837 is a prime.

It is a super-3 number, since 3×321301334121221³ (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 (321301334121227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160650667060610 + 160650667060611.

It is an arithmetic number, because the mean of its divisors is an integer number (160650667060611).

Almost surely, 2^{321301334121221} is an apocalyptic number.

It is an amenable number.

321301334121221 is a deficient number, since it is larger than the sum of its proper divisors (1).

321301334121221 is an equidigital number, since it uses as much as digits as its factorization.

321301334121221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 321301334121221 its reverse (122121433103123), we get a palindrome (443422767224344).

The spelling of 321301334121221 in words is "three hundred twenty-one trillion, three hundred one billion, three hundred thirty-four million, one hundred twenty-one thousand, two hundred twenty-one".