3302003313 has 84 divisors (see below), whose sum is σ = 6013073920. Its totient is φ = 1775074176.

The previous prime is 3302003273. The next prime is 3302003323. The reversal of 3302003313 is 3133002033.

3302003313 is a `hidden beast` number, since 330 + 2 + 0 + 0 + 331 + 3 = 666.

It is not a de Polignac number, because 3302003313 - 2⁸ = 3302003057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3302003323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1473648 + ... + 1475886.

Almost surely, 2^3302003313 is an apocalyptic number.

It is an amenable number.

3302003313 is a deficient number, since it is larger than the sum of its proper divisors (2711070607).

3302003313 is an equidigital number, since it uses as much as digits as its factorization.

3302003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3302003313 is about 57463.0604214568. The cubic root of 3302003313 is about 1489.1067590336.

Adding to 3302003313 its reverse (3133002033), we get a palindrome (6435005346).

The spelling of 3302003313 in words is "three billion, three hundred two million, three thousand, three hundred thirteen".