813133113 has 16 divisors (see below), whose sum is σ = 1176495936. Its totient is φ = 496566720.

The previous prime is 813133093. The next prime is 813133141. The reversal of 813133113 is 311331318.

It is not a de Polignac number, because 813133113 - 2¹² = 813129017 is a prime.

It is a super-2 number, since 2×813133113² = 1322370918914141538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813153113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74470 + ... + 84687.

It is an arithmetic number, because the mean of its divisors is an integer number (73530996).

Almost surely, 2^813133113 is an apocalyptic number.

It is an amenable number.

813133113 is a deficient number, since it is larger than the sum of its proper divisors (363362823).

813133113 is a wasteful number, since it uses less digits than its factorization.

813133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159304.

The product of its digits is 648, while the sum is 24.

The square root of 813133113 is about 28515.4890015935. The cubic root of 813133113 is about 933.3700956467.

The spelling of 813133113 in words is "eight hundred thirteen million, one hundred thirty-three thousand, one hundred thirteen".