331023311002313 has 8 divisors (see below), whose sum is σ = 331042912924680. Its totient is φ = 331003709724160.

The previous prime is 331023311002289. The next prime is 331023311002331. The reversal of 331023311002313 is 313200113320133.

It can be written as a sum of positive squares in 4 ways, for example, as 23687805808144 + 307335505194169 = 4867012^2 + 17530987^2 .

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 331023311002313 - 2¹⁰ = 331023311001289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331023311002333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1331313143 + ... + 1331561763.

It is an arithmetic number, because the mean of its divisors is an integer number (41380364115585).

Almost surely, 2^{331023311002313} is an apocalyptic number.

It is an amenable number.

331023311002313 is a deficient number, since it is larger than the sum of its proper divisors (19601922367).

331023311002313 is a wasteful number, since it uses less digits than its factorization.

331023311002313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322107.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 331023311002313 its reverse (313200113320133), we get a palindrome (644223424322446).

The spelling of 331023311002313 in words is "three hundred thirty-one trillion, twenty-three billion, three hundred eleven million, two thousand, three hundred thirteen".