313042240313 has 12 divisors (see below), whose sum is σ = 352480141524. Its totient is φ = 277642780800.

The previous prime is 313042240241. The next prime is 313042240333.

313042240313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 104217917584 + 208824322729 = 322828^2 + 456973^2 .

It is not a de Polignac number, because 313042240313 - 2⁸ = 313042240057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313042240333) 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, 31545356 + ... + 31555277.

It is an arithmetic number, because the mean of its divisors is an integer number (29373345127).

Almost surely, 2^313042240313 is an apocalyptic number.

It is an amenable number.

313042240313 is a deficient number, since it is larger than the sum of its proper divisors (39437901211).

313042240313 is a wasteful number, since it uses less digits than its factorization.

313042240313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63100696 (or 63100685 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 313042 and 240313, that added together give a palindrome (553355).

The spelling of 313042240313 in words is "three hundred thirteen billion, forty-two million, two hundred forty thousand, three hundred thirteen".