3001313313 has 12 divisors (see below), whose sum is σ = 4394618020. Its totient is φ = 1973465856.

The previous prime is 3001313311. The next prime is 3001313323. The reversal of 3001313313 is 3133131003.

3001313313 is a `hidden beast` number, since 300 + 1 + 31 + 331 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1481249169 + 1520064144 = 38487^2 + 38988^2 .

It is not a de Polignac number, because 3001313313 - 2¹ = 3001313311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3001313311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2283448 + ... + 2284761.

Almost surely, 2^3001313313 is an apocalyptic number.

It is an amenable number.

3001313313 is a deficient number, since it is larger than the sum of its proper divisors (1393304707).

3001313313 is a wasteful number, since it uses less digits than its factorization.

3001313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568288 (or 4568285 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 3001313313 is about 54784.2432912968. The cubic root of 3001313313 is about 1442.4599979496.

Adding to 3001313313 its reverse (3133131003), we get a palindrome (6134444316).

The spelling of 3001313313 in words is "three billion, one million, three hundred thirteen thousand, three hundred thirteen".