2003323113133 has 2 divisors, whose sum is σ = 2003323113134. Its totient is φ = 2003323113132.

The previous prime is 2003323113131. The next prime is 2003323113193. The reversal of 2003323113133 is 3313113233002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1616958930409 + 386364182724 = 1271597^2 + 621582^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003323113133 - 2¹ = 2003323113131 is a prime.

It is a super-2 number, since 2×2003323113133² (a number of 25 digits) contains 22 as substring.

Together with 2003323113131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2003323113098 and 2003323113107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003323113131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001661556566 + 1001661556567.

It is an arithmetic number, because the mean of its divisors is an integer number (1001661556567).

Almost surely, 2^{2003323113133} is an apocalyptic number.

It is an amenable number.

2003323113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003323113133 is an equidigital number, since it uses as much as digits as its factorization.

2003323113133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 2003323113133 its reverse (3313113233002), we get a palindrome (5316436346135).

The spelling of 2003323113133 in words is "two trillion, three billion, three hundred twenty-three million, one hundred thirteen thousand, one hundred thirty-three".