233213231313 has 24 divisors (see below), whose sum is σ = 345127571880. Its totient is φ = 151662378240.

The previous prime is 233213231297. The next prime is 233213231323. The reversal of 233213231313 is 313132312332.

233213231313 is a `hidden beast` number, since 2 + 3 + 3 + 21 + 323 + 1 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28547649 + 233184683664 = 5343^2 + 482892^2 .

It is not a de Polignac number, because 233213231313 - 2⁴ = 233213231297 is a prime.

It is a super-2 number, since 2×233213231313² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (233213231323) 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 23 ways as a sum of consecutive naturals, for example, 2887443 + ... + 2967111.

It is an arithmetic number, because the mean of its divisors is an integer number (14380315495).

Almost surely, 2^233213231313 is an apocalyptic number.

It is an amenable number.

233213231313 is a deficient number, since it is larger than the sum of its proper divisors (111914340567).

233213231313 is a wasteful number, since it uses less digits than its factorization.

233213231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87649 (or 87646 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 233213231313 its reverse (313132312332), we get a palindrome (546345543645).

The spelling of 233213231313 in words is "two hundred thirty-three billion, two hundred thirteen million, two hundred thirty-one thousand, three hundred thirteen".