331120313 has 2 divisors, whose sum is σ = 331120314. Its totient is φ = 331120312.

The previous prime is 331120297. The next prime is 331120327. The reversal of 331120313 is 313021133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330803344 + 316969 = 18188^2 + 563^2 .

It is an emirp because it is prime and its reverse (313021133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331120313 - 2⁴ = 331120297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331120291 and 331120300.

It is not a weakly prime, because it can be changed into another prime (331120333) 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, 165560156 + 165560157.

It is an arithmetic number, because the mean of its divisors is an integer number (165560157).

Almost surely, 2^331120313 is an apocalyptic number.

It is an amenable number.

331120313 is a deficient number, since it is larger than the sum of its proper divisors (1).

331120313 is an equidigital number, since it uses as much as digits as its factorization.

331120313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 331120313 is about 18196.7115985279. The cubic root of 331120313 is about 691.8234434634.

Adding to 331120313 its reverse (313021133), we get a palindrome (644141446).

The spelling of 331120313 in words is "three hundred thirty-one million, one hundred twenty thousand, three hundred thirteen".