2003313 has 16 divisors (see below), whose sum is σ = 2971136. Its totient is φ = 1192320.

The previous prime is 2003299. The next prime is 2003321. The reversal of 2003313 is 3133002.

It is a happy number.

It is not a de Polignac number, because 2003313 - 2¹⁰ = 2002289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2003363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381 + ... + 2037.

It is an arithmetic number, because the mean of its divisors is an integer number (185696).

2^2003313 is an apocalyptic number.

It is an amenable number.

2003313 is a deficient number, since it is larger than the sum of its proper divisors (967823).

2003313 is a wasteful number, since it uses less digits than its factorization.

2003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704.

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

The square root of 2003313 is about 1415.3844000836. The cubic root of 2003313 is about 126.0616352520.

Adding to 2003313 its reverse (3133002), we get a palindrome (5136315).

The spelling of 2003313 in words is "two million, three thousand, three hundred thirteen".