3300120300313 has 8 divisors (see below), whose sum is σ = 3389788971720. Its totient is φ = 3210476693760.

The previous prime is 3300120300307. The next prime is 3300120300359. The reversal of 3300120300313 is 3130030210033.

3300120300313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 725404813849 + 2574715486464 = 851707^2 + 1604592^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3300120300313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3300120300013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5999158 + ... + 6526111.

It is an arithmetic number, because the mean of its divisors is an integer number (423723621465).

Almost surely, 2^{3300120300313} is an apocalyptic number.

It is an amenable number.

3300120300313 is a deficient number, since it is larger than the sum of its proper divisors (89668671407).

3300120300313 is a wasteful number, since it uses less digits than its factorization.

3300120300313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12532427.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 3300120300313 its reverse (3130030210033), we get a palindrome (6430150510346).

The spelling of 3300120300313 in words is "three trillion, three hundred billion, one hundred twenty million, three hundred thousand, three hundred thirteen".