3313310013 has 48 divisors (see below), whose sum is σ = 5489331120. Its totient is φ = 1907730432.

The previous prime is 3313309973. The next prime is 3313310017. The reversal of 3313310013 is 3100133133.

3313310013 is a `hidden beast` number, since 331 + 331 + 0 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 858900249 + 2454409764 = 29307^2 + 49542^2 .

It is not a de Polignac number, because 3313310013 - 2¹⁰ = 3313308989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313310017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339283 + ... + 348911.

It is an arithmetic number, because the mean of its divisors is an integer number (114361065).

Almost surely, 2^3313310013 is an apocalyptic number.

It is an amenable number.

3313310013 is a deficient number, since it is larger than the sum of its proper divisors (2176021107).

3313310013 is a wasteful number, since it uses less digits than its factorization.

3313310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9838 (or 9835 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 3313310013 is about 57561.3586792390. The cubic root of 3313310013 is about 1490.8044862099.

Adding to 3313310013 its reverse (3100133133), we get a palindrome (6413443146).

The spelling of 3313310013 in words is "three billion, three hundred thirteen million, three hundred ten thousand, thirteen".