331075313 has 2 divisors, whose sum is σ = 331075314. Its totient is φ = 331075312.

The previous prime is 331075309. The next prime is 331075337. The reversal of 331075313 is 313570133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248755984 + 82319329 = 15772^2 + 9073^2 .

It is an emirp because it is prime and its reverse (313570133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331075313 - 2² = 331075309 is a prime.

It is a super-2 number, since 2×331075313² = 219221725756095938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331075813) 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, 165537656 + 165537657.

It is an arithmetic number, because the mean of its divisors is an integer number (165537657).

Almost surely, 2^331075313 is an apocalyptic number.

It is an amenable number.

331075313 is a deficient number, since it is larger than the sum of its proper divisors (1).

331075313 is an equidigital number, since it uses as much as digits as its factorization.

331075313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 26.

The square root of 331075313 is about 18195.4750693682. The cubic root of 331075313 is about 691.7921019196.

The spelling of 331075313 in words is "three hundred thirty-one million, seventy-five thousand, three hundred thirteen".