331003332213109 has 2 divisors, whose sum is σ = 331003332213110. Its totient is φ = 331003332213108.

The previous prime is 331003332213061. The next prime is 331003332213137. The reversal of 331003332213109 is 901312233300133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 328026251135025 + 2977081078084 = 18111495^2 + 1725422^2 .

It is a cyclic number.

It is not a de Polignac number, because 331003332213109 - 2¹⁵ = 331003332180341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331003332213149) 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, 165501666106554 + 165501666106555.

It is an arithmetic number, because the mean of its divisors is an integer number (165501666106555).

Almost surely, 2^{331003332213109} is an apocalyptic number.

It is an amenable number.

331003332213109 is a deficient number, since it is larger than the sum of its proper divisors (1).

331003332213109 is an equidigital number, since it uses as much as digits as its factorization.

331003332213109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 34.

The spelling of 331003332213109 in words is "three hundred thirty-one trillion, three billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred nine".