2003113313 has 2 divisors, whose sum is σ = 2003113314. Its totient is φ = 2003113312.

The previous prime is 2003113249. The next prime is 2003113319. The reversal of 2003113313 is 3133113002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1909952209 + 93161104 = 43703^2 + 9652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003113313 - 2⁶ = 2003113249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003113291 and 2003113300.

It is not a weakly prime, because it can be changed into another prime (2003113319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001556656 + 1001556657.

It is an arithmetic number, because the mean of its divisors is an integer number (1001556657).

Almost surely, 2^2003113313 is an apocalyptic number.

It is an amenable number.

2003113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003113313 is an equidigital number, since it uses as much as digits as its factorization.

2003113313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 2003113313 is about 44756.1539120600. The cubic root of 2003113313 is about 1260.5744657280.

Adding to 2003113313 its reverse (3133113002), we get a palindrome (5136226315).

The spelling of 2003113313 in words is "two billion, three million, one hundred thirteen thousand, three hundred thirteen".