3003323303013 has 48 divisors (see below), whose sum is σ = 4611236977152. Its totient is φ = 1724117076000.

The previous prime is 3003323303003. The next prime is 3003323303069. The reversal of 3003323303013 is 3103033233003.

It is a happy number.

It is not a de Polignac number, because 3003323303013 - 2¹³ = 3003323294821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003323303003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90414978 + ... + 90448188.

It is an arithmetic number, because the mean of its divisors is an integer number (96067437024).

Almost surely, 2^{3003323303013} is an apocalyptic number.

3003323303013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3003323303013 is a deficient number, since it is larger than the sum of its proper divisors (1607913674139).

3003323303013 is a wasteful number, since it uses less digits than its factorization.

3003323303013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40854 (or 40835 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 3003323303013 its reverse (3103033233003), we get a palindrome (6106356536016).

The spelling of 3003323303013 in words is "three trillion, three billion, three hundred twenty-three million, three hundred three thousand, thirteen".