2000003313 has 48 divisors (see below), whose sum is σ = 3383468928. Its totient is φ = 1028544000.

The previous prime is 2000003303. The next prime is 2000003333. The reversal of 2000003313 is 3133000002.

It is a happy number.

It is not a de Polignac number, because 2000003313 - 2⁵ = 2000003281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2000003303) 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, 252745 + ... + 260537.

It is an arithmetic number, because the mean of its divisors is an integer number (70488936).

Almost surely, 2^2000003313 is an apocalyptic number.

It is an amenable number.

2000003313 is a deficient number, since it is larger than the sum of its proper divisors (1383465615).

2000003313 is a wasteful number, since it uses less digits than its factorization.

2000003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7915 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2000003313 is about 44721.3965904465. The cubic root of 2000003313 is about 1259.9217455809.

Adding to 2000003313 its reverse (3133000002), we get a palindrome (5133003315).

The spelling of 2000003313 in words is "two billion, three thousand, three hundred thirteen".