331131232110313 has 8 divisors (see below), whose sum is σ = 337418035648776. Its totient is φ = 324845874662400.

The previous prime is 331131232110277. The next prime is 331131232110323. The reversal of 331131232110313 is 313011232131133.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1892638535824 + 329238593574489 = 1375732^2 + 18144933^2 .

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 331131232110313 - 2⁹ = 331131232109801 is a prime.

It is a super-3 number, since 3×331131232110313³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331131232110323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361060318 + ... + 361976263.

It is an arithmetic number, because the mean of its divisors is an integer number (42177254456097).

Almost surely, 2^{331131232110313} is an apocalyptic number.

It is an amenable number.

331131232110313 is a deficient number, since it is larger than the sum of its proper divisors (6286803538463).

331131232110313 is an equidigital number, since it uses as much as digits as its factorization.

331131232110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723045275.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 331131232110313 its reverse (313011232131133), we get a palindrome (644142464241446).

The spelling of 331131232110313 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, two hundred thirty-two million, one hundred ten thousand, three hundred thirteen".