331222310003201 has 2 divisors, whose sum is σ = 331222310003202. Its totient is φ = 331222310003200.

The previous prime is 331222310003147. The next prime is 331222310003203. The reversal of 331222310003201 is 102300013222133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326285697024400 + 4936612978801 = 18063380^2 + 2221849^2 .

It is a cyclic number.

It is not a de Polignac number, because 331222310003201 - 2¹⁴ = 331222309986817 is a prime.

Together with 331222310003203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (331222310003203) 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, 165611155001600 + 165611155001601.

It is an arithmetic number, because the mean of its divisors is an integer number (165611155001601).

Almost surely, 2^{331222310003201} is an apocalyptic number.

It is an amenable number.

331222310003201 is a deficient number, since it is larger than the sum of its proper divisors (1).

331222310003201 is an equidigital number, since it uses as much as digits as its factorization.

331222310003201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 331222310003201 its reverse (102300013222133), we get a palindrome (433522323225334).

The spelling of 331222310003201 in words is "three hundred thirty-one trillion, two hundred twenty-two billion, three hundred ten million, three thousand, two hundred one".