2004133023 has 24 divisors (see below), whose sum is σ = 3038275968. Its totient is φ = 1319977944.

The previous prime is 2004132983. The next prime is 2004133039. The reversal of 2004133023 is 3203314002.

2004133023 is a `hidden beast` number, since 200 + 413 + 30 + 23 = 666.

It is not a de Polignac number, because 2004133023 - 2⁶ = 2004132959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2004132987 and 2004133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004133123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29515 + ... + 69852.

It is an arithmetic number, because the mean of its divisors is an integer number (126594832).

Almost surely, 2^2004133023 is an apocalyptic number.

2004133023 is a deficient number, since it is larger than the sum of its proper divisors (1034142945).

2004133023 is an frugal number, since it uses more digits than its factorization.

2004133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99465 (or 99453 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2004133023 is about 44767.5443038816. The cubic root of 2004133023 is about 1260.7883331982.

Adding to 2004133023 its reverse (3203314002), we get a palindrome (5207447025).

The spelling of 2004133023 in words is "two billion, four million, one hundred thirty-three thousand, twenty-three".