331333231012249 has 2 divisors, whose sum is σ = 331333231012250. Its totient is φ = 331333231012248.

The previous prime is 331333231012237. The next prime is 331333231012339. The reversal of 331333231012249 is 942210132333133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312626247937600 + 18706983074649 = 17681240^2 + 4325157^2 .

It is a cyclic number.

It is not a de Polignac number, because 331333231012249 - 2³⁷ = 331195792058777 is a prime.

It is not a weakly prime, because it can be changed into another prime (331333231012229) 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, 165666615506124 + 165666615506125.

It is an arithmetic number, because the mean of its divisors is an integer number (165666615506125).

Almost surely, 2^{331333231012249} is an apocalyptic number.

It is an amenable number.

331333231012249 is a deficient number, since it is larger than the sum of its proper divisors (1).

331333231012249 is an equidigital number, since it uses as much as digits as its factorization.

331333231012249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209952, while the sum is 40.

The spelling of 331333231012249 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, two hundred thirty-one million, twelve thousand, two hundred forty-nine".