331132993 has 2 divisors, whose sum is σ = 331132994. Its totient is φ = 331132992.

The previous prime is 331132937. The next prime is 331133027. The reversal of 331132993 is 399231133.

It is an a-pointer prime, because the next prime (331133027) can be obtained adding 331132993 to its sum of digits (34).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285880464 + 45252529 = 16908^2 + 6727^2 .

It is a cyclic number.

It is not a de Polignac number, because 331132993 - 2⁹ = 331132481 is a prime.

It is not a weakly prime, because it can be changed into another prime (331132903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566496 + 165566497.

It is an arithmetic number, because the mean of its divisors is an integer number (165566497).

Almost surely, 2^331132993 is an apocalyptic number.

It is an amenable number.

331132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

331132993 is an equidigital number, since it uses as much as digits as its factorization.

331132993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13122, while the sum is 34.

The square root of 331132993 is about 18197.0600097928. The cubic root of 331132993 is about 691.8322743012.

The spelling of 331132993 in words is "three hundred thirty-one million, one hundred thirty-two thousand, nine hundred ninety-three".