3306135313 has 16 divisors (see below), whose sum is σ = 3604848912. Its totient is φ = 3013920000.

The previous prime is 3306135311. The next prime is 3306135323. The reversal of 3306135313 is 3135316033.

3306135313 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 8 ways, for example, as 965220624 + 2340914689 = 31068^2 + 48383^2 .

It is not a de Polignac number, because 3306135313 - 2¹ = 3306135311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3306135311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549783 + ... + 555763.

It is an arithmetic number, because the mean of its divisors is an integer number (225303057).

Almost surely, 2^3306135313 is an apocalyptic number.

It is an amenable number.

3306135313 is a deficient number, since it is larger than the sum of its proper divisors (298713599).

3306135313 is a wasteful number, since it uses less digits than its factorization.

3306135313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6516.

The product of its (nonzero) digits is 7290, while the sum is 28.

The square root of 3306135313 is about 57499.0027130906. The cubic root of 3306135313 is about 1489.7276371077.

The spelling of 3306135313 in words is "three billion, three hundred six million, one hundred thirty-five thousand, three hundred thirteen".