233233313321313 has 24 divisors (see below), whose sum is σ = 354625007672000. Its totient is φ = 147304728620064.

The previous prime is 233233313321291. The next prime is 233233313321329. The reversal of 233233313321313 is 313123313332332.

233233313321313 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 3 + 3 + 3 + 1 + 332 + 1 + 313 = 666.

233233313321313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233233313321313 - 2⁶ = 233233313321249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233233313321353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49204788 + ... + 53736186.

Almost surely, 2^{233233313321313} is an apocalyptic number.

It is an amenable number.

233233313321313 is a deficient number, since it is larger than the sum of its proper divisors (121391694350687).

233233313321313 is a wasteful number, since it uses less digits than its factorization.

233233313321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832421 (or 4832418 counting only the distinct ones).

The product of its digits is 157464, while the sum is 36.

Adding to 233233313321313 its reverse (313123313332332), we get a palindrome (546356626653645).

The spelling of 233233313321313 in words is "two hundred thirty-three trillion, two hundred thirty-three billion, three hundred thirteen million, three hundred twenty-one thousand, three hundred thirteen".