823133131 has 16 divisors (see below), whose sum is σ = 881798400. Its totient is φ = 766631008.

The previous prime is 823133107. The next prime is 823133209. The reversal of 823133131 is 131331328.

It is a cyclic number.

It is not a de Polignac number, because 823133131 - 2⁹ = 823132619 is a prime.

It is a super-2 number, since 2×823133131² = 1355096302699726322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 823133096 and 823133105.

It is not an unprimeable number, because it can be changed into a prime (823133431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142365 + ... + 148033.

It is an arithmetic number, because the mean of its divisors is an integer number (55112400).

Almost surely, 2^823133131 is an apocalyptic number.

823133131 is a deficient number, since it is larger than the sum of its proper divisors (58665269).

823133131 is a wasteful number, since it uses less digits than its factorization.

823133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858.

The product of its digits is 1296, while the sum is 25.

The square root of 823133131 is about 28690.2968092001. The cubic root of 823133131 is about 937.1807528338.

Adding to 823133131 its reverse (131331328), we get a palindrome (954464459).

The spelling of 823133131 in words is "eight hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty-one".