331221332102113 has 2 divisors, whose sum is σ = 331221332102114. Its totient is φ = 331221332102112.

The previous prime is 331221332101987. The next prime is 331221332102119. The reversal of 331221332102113 is 311201233122133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329314770409024 + 1906561693089 = 18147032^2 + 1380783^2 .

It is a cyclic number.

It is not a de Polignac number, because 331221332102113 - 2⁹ = 331221332101601 is a prime.

It is not a weakly prime, because it can be changed into another prime (331221332102119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165610666051056 + 165610666051057.

It is an arithmetic number, because the mean of its divisors is an integer number (165610666051057).

Almost surely, 2^{331221332102113} is an apocalyptic number.

It is an amenable number.

331221332102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

331221332102113 is an equidigital number, since it uses as much as digits as its factorization.

331221332102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 331221332102113 its reverse (311201233122133), we get a palindrome (642422565224246).

The spelling of 331221332102113 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, three hundred thirty-two million, one hundred two thousand, one hundred thirteen".