23133313305 has 12 divisors (see below), whose sum is σ = 40097743140. Its totient is φ = 12337767072.

The previous prime is 23133313297. The next prime is 23133313321. The reversal of 23133313305 is 50331333132.

23133313305 is a `hidden beast` number, since 2 + 313 + 3 + 313 + 30 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16913782809 + 6219530496 = 130053^2 + 78864^2 .

It is not a de Polignac number, because 23133313305 - 2³ = 23133313297 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 257036770 + ... + 257036859.

It is an arithmetic number, because the mean of its divisors is an integer number (3341478595).

Almost surely, 2^23133313305 is an apocalyptic number.

It is an amenable number.

23133313305 is a deficient number, since it is larger than the sum of its proper divisors (16964429835).

23133313305 is a wasteful number, since it uses less digits than its factorization.

23133313305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514073640 (or 514073637 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 27.

Adding to 23133313305 its reverse (50331333132), we get a palindrome (73464646437).

The spelling of 23133313305 in words is "twenty-three billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred five".