233122324034313 has 128 divisors (see below), whose sum is σ = 400085572608000. Its totient is φ = 131412738735360.

The previous prime is 233122324034293. The next prime is 233122324034351. The reversal of 233122324034313 is 313430423221332.

233122324034313 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 2 + 232 + 403 + 4 + 3 + 13 = 666.

It is not a de Polignac number, because 233122324034313 - 2¹² = 233122324030217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (233122324034813) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2145947508 + ... + 2146056138.

It is an arithmetic number, because the mean of its divisors is an integer number (3125668536000).

Almost surely, 2^{233122324034313} is an apocalyptic number.

It is an amenable number.

233122324034313 is a deficient number, since it is larger than the sum of its proper divisors (166963248573687).

233122324034313 is a wasteful number, since it uses less digits than its factorization.

233122324034313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109332 (or 109326 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 233122324034313 its reverse (313430423221332), we get a palindrome (546552747255645).

The spelling of 233122324034313 in words is "two hundred thirty-three trillion, one hundred twenty-two billion, three hundred twenty-four million, thirty-four thousand, three hundred thirteen".