3002330012313 has 16 divisors (see below), whose sum is σ = 4042063241216. Its totient is φ = 1982075942160.

The previous prime is 3002330012291. The next prime is 3002330012389. The reversal of 3002330012313 is 3132100332003.

It is not a de Polignac number, because 3002330012313 - 2¹⁸ = 3002329750169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3002330012313.

It is not an unprimeable number, because it can be changed into a prime (3002330012713) 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 15 ways as a sum of consecutive naturals, for example, 18859656 + ... + 19018182.

It is an arithmetic number, because the mean of its divisors is an integer number (252628952576).

Almost surely, 2^{3002330012313} is an apocalyptic number.

It is an amenable number.

3002330012313 is a deficient number, since it is larger than the sum of its proper divisors (1039733228903).

3002330012313 is a wasteful number, since it uses less digits than its factorization.

3002330012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219924.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3002330012313 its reverse (3132100332003), we get a palindrome (6134430344316).

The spelling of 3002330012313 in words is "three trillion, two billion, three hundred thirty million, twelve thousand, three hundred thirteen".