233122322313 has 12 divisors (see below), whose sum is σ = 339712176180. Its totient is φ = 154039527936.

The previous prime is 233122322297. The next prime is 233122322327. The reversal of 233122322313 is 313223221332.

233122322313 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 22 + 322 + 313 = 666.

233122322313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2480338809 + 230641983504 = 49803^2 + 480252^2 .

It is not a de Polignac number, because 233122322313 - 2⁴ = 233122322297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (233122322113) 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 11 ways as a sum of consecutive naturals, for example, 114611728 + ... + 114613761.

It is an arithmetic number, because the mean of its divisors is an integer number (28309348015).

Almost surely, 2^233122322313 is an apocalyptic number.

It is an amenable number.

233122322313 is a deficient number, since it is larger than the sum of its proper divisors (106589853867).

233122322313 is a wasteful number, since it uses less digits than its factorization.

233122322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229225608 (or 229225605 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 233122322313 its reverse (313223221332), we get a palindrome (546345543645).

The spelling of 233122322313 in words is "two hundred thirty-three billion, one hundred twenty-two million, three hundred twenty-two thousand, three hundred thirteen".