4000302313 has 16 divisors (see below), whose sum is σ = 4866480000. Its totient is φ = 3211857792.

The previous prime is 4000302287. The next prime is 4000302353. The reversal of 4000302313 is 3132030004.

4000302313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4000302313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000302353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157138 + ... + 180811.

It is an arithmetic number, because the mean of its divisors is an integer number (304155000).

Almost surely, 2^4000302313 is an apocalyptic number.

It is an amenable number.

4000302313 is a deficient number, since it is larger than the sum of its proper divisors (866177687).

4000302313 is a wasteful number, since it uses less digits than its factorization.

4000302313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338064.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 4000302313 is about 63247.9431523271. The cubic root of 4000302313 is about 1587.4410419586.

Adding to 4000302313 its reverse (3132030004), we get a palindrome (7132332317).

The spelling of 4000302313 in words is "four billion, three hundred two thousand, three hundred thirteen".