313303424303313 has 12 divisors (see below), whose sum is σ = 457030077697908. Its totient is φ = 206800940133600.

The previous prime is 313303424303299. The next prime is 313303424303339.

313303424303313 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 0 + 34 + 2 + 4 + 303 + 313 = 666.

313303424303313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 163168101470529 + 150135322832784 = 12773727^2 + 12252972^2 .

It is not a de Polignac number, because 313303424303313 - 2⁶ = 313303424303249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313303424302313) 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 in 11 ways as a sum of consecutive naturals, for example, 172334115870 + ... + 172334117687.

It is an arithmetic number, because the mean of its divisors is an integer number (38085839808159).

Almost surely, 2^{313303424303313} is an apocalyptic number.

It is an amenable number.

313303424303313 is a deficient number, since it is larger than the sum of its proper divisors (143726653394595).

313303424303313 is a wasteful number, since it uses less digits than its factorization.

313303424303313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344668233664 (or 344668233661 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 36.

The spelling of 313303424303313 in words is "three hundred thirteen trillion, three hundred three billion, four hundred twenty-four million, three hundred three thousand, three hundred thirteen".