331132313 has 8 divisors (see below), whose sum is σ = 333074280. Its totient is φ = 329195520.

The previous prime is 331132303. The next prime is 331132327. The reversal of 331132313 is 313231133.

It can be written as a sum of positive squares in 4 ways, for example, as 12581209 + 318551104 = 3547^2 + 17848^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331132313 - 2¹⁰ = 331131289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331132303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271481 + ... + 272697.

It is an arithmetic number, because the mean of its divisors is an integer number (41634285).

Almost surely, 2^331132313 is an apocalyptic number.

It is an amenable number.

331132313 is a deficient number, since it is larger than the sum of its proper divisors (1941967).

331132313 is a wasteful number, since it uses less digits than its factorization.

331132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587.

The product of its digits is 486, while the sum is 20.

The square root of 331132313 is about 18197.0413254463. The cubic root of 331132313 is about 691.8318007288.

Adding to 331132313 its reverse (313231133), we get a palindrome (644363446).

The spelling of 331132313 in words is "three hundred thirty-one million, one hundred thirty-two thousand, three hundred thirteen".