3330002313 has 64 divisors (see below), whose sum is σ = 5721373440. Its totient is φ = 1891814400.

The previous prime is 3330002293. The next prime is 3330002321. The reversal of 3330002313 is 3132000333.

It is not a de Polignac number, because 3330002313 - 2¹⁶ = 3329936777 is a prime.

It is a super-2 number, since 2×3330002313² = 22177830809170699938, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3330002363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1397383 + ... + 1399763.

It is an arithmetic number, because the mean of its divisors is an integer number (89396460).

Almost surely, 2^3330002313 is an apocalyptic number.

3330002313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3330002313 is a deficient number, since it is larger than the sum of its proper divisors (2391371127).

3330002313 is a wasteful number, since it uses less digits than its factorization.

3330002313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3330002313 is about 57706.1722262012. The cubic root of 3330002313 is about 1493.3038280015.

Adding to 3330002313 its reverse (3132000333), we get a palindrome (6462002646).

The spelling of 3330002313 in words is "three billion, three hundred thirty million, two thousand, three hundred thirteen".