1003313 has 6 divisors (see below), whose sum is σ = 1039974. Its totient is φ = 967904.

The previous prime is 1003307. The next prime is 1003337. The reversal of 1003313 is 3133001.

It can be written as a sum of positive squares in 3 ways, for example, as 169744 + 833569 = 412^2 + 913^2 .

It is not a de Polignac number, because 1003313 - 2¹⁰ = 1002289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003294 and 1003303.

It is not an unprimeable number, because it can be changed into a prime (1003363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 245 + ... + 1437.

It is an arithmetic number, because the mean of its divisors is an integer number (173329).

2^1003313 is an apocalyptic number.

It is an amenable number.

1003313 is a deficient number, since it is larger than the sum of its proper divisors (36661).

1003313 is an equidigital number, since it uses as much as digits as its factorization.

1003313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 1003313 is about 1001.6551302719. The cubic root of 1003313 is about 100.1103116021.

Adding to 1003313 its reverse (3133001), we get a palindrome (4136314).

The spelling of 1003313 in words is "one million, three thousand, three hundred thirteen".