3003313012002 has 48 divisors (see below), whose sum is σ = 6684124224960. Its totient is φ = 973890586656.

The previous prime is 3003313011977. The next prime is 3003313012003. The reversal of 3003313012002 is 2002103133003.

3003313012002 is a `hidden beast` number, since 30 + 0 + 331 + 301 + 2 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3003313012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3811149 + ... + 4531167.

It is an arithmetic number, because the mean of its divisors is an integer number (139252588020).

Almost surely, 2^{3003313012002} is an apocalyptic number.

3003313012002 is an abundant number, since it is smaller than the sum of its proper divisors (3680811212958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3003313012002 is a wasteful number, since it uses less digits than its factorization.

3003313012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726327 (or 726324 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3003313012002 its reverse (2002103133003), we get a palindrome (5005416145005).

The spelling of 3003313012002 in words is "three trillion, three billion, three hundred thirteen million, twelve thousand, two".