1133003313 has 24 divisors (see below), whose sum is σ = 1795713192. Its totient is φ = 684073728.

The previous prime is 1133003297. The next prime is 1133003329. The reversal of 1133003313 is 3133003311.

1133003313 is a `hidden beast` number, since 1 + 1 + 330 + 0 + 331 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1133003297) and next prime (1133003329).

It can be written as a sum of positive squares in 4 ways, for example, as 815409 + 1132187904 = 903^2 + 33648^2 .

It is not a de Polignac number, because 1133003313 - 2⁴ = 1133003297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1133003353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85156 + ... + 97557.

It is an arithmetic number, because the mean of its divisors is an integer number (74821383).

Almost surely, 2^1133003313 is an apocalyptic number.

1133003313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1133003313 is a deficient number, since it is larger than the sum of its proper divisors (662709879).

1133003313 is a wasteful number, since it uses less digits than its factorization.

1133003313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182785 (or 182782 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1133003313 is about 33660.1145719975. The cubic root of 1133003313 is about 1042.5023915201.

Adding to 1133003313 its reverse (3133003311), we get a palindrome (4266006624).

The spelling of 1133003313 in words is "one billion, one hundred thirty-three million, three thousand, three hundred thirteen".