331003111313 has 12 divisors (see below), whose sum is σ = 385093766772. Its totient is φ = 283680603360.

The previous prime is 331003111303. The next prime is 331003111357. The reversal of 331003111313 is 313111300133.

It can be written as a sum of positive squares in 2 ways, for example, as 17473667344 + 313529443969 = 132188^2 + 559937^2 .

It is not a de Polignac number, because 331003111313 - 2⁸ = 331003111057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331003111303) 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 11 ways as a sum of consecutive naturals, for example, 42818 + ... + 814763.

It is an arithmetic number, because the mean of its divisors is an integer number (32091147231).

Almost surely, 2^331003111313 is an apocalyptic number.

It is an amenable number.

331003111313 is a deficient number, since it is larger than the sum of its proper divisors (54090655459).

331003111313 is an equidigital number, since it uses as much as digits as its factorization.

331003111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865472 (or 865465 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 331003111313 its reverse (313111300133), we get a palindrome (644114411446).

It can be divided in two parts, 33100 and 3111313, that added together give a palindrome (3144413).

The spelling of 331003111313 in words is "three hundred thirty-one billion, three million, one hundred eleven thousand, three hundred thirteen".