233122314321 has 48 divisors (see below), whose sum is σ = 384265561680. Its totient is φ = 134915788800.

The previous prime is 233122314311. The next prime is 233122314371. The reversal of 233122314321 is 123413221332.

233122314321 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 22 + 314 + 321 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30114396225 + 203007918096 = 173535^2 + 450564^2 .

It is not a de Polignac number, because 233122314321 - 2²² = 233118120017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (233122314301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2542645 + ... + 2632733.

It is an arithmetic number, because the mean of its divisors is an integer number (8005532535).

Almost surely, 2^233122314321 is an apocalyptic number.

It is an amenable number.

233122314321 is a deficient number, since it is larger than the sum of its proper divisors (151143247359).

233122314321 is a wasteful number, since it uses less digits than its factorization.

233122314321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91426 (or 91423 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 233122314321 its reverse (123413221332), we get a palindrome (356535535653).

The spelling of 233122314321 in words is "two hundred thirty-three billion, one hundred twenty-two million, three hundred fourteen thousand, three hundred twenty-one".