233223311313 has 64 divisors (see below), whose sum is σ = 362616576000. Its totient is φ = 147966704640.

The previous prime is 233223311281. The next prime is 233223311323. The reversal of 233223311313 is 313113322332.

233223311313 is a `hidden beast` number, since 2 + 3 + 32 + 2 + 3 + 311 + 313 = 666.

It is not a de Polignac number, because 233223311313 - 2⁵ = 233223311281 is a prime.

It is a super-2 number, since 2×233223311313² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (233223311323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21318781 + ... + 21329717.

It is an arithmetic number, because the mean of its divisors is an integer number (5665884000).

Almost surely, 2^233223311313 is an apocalyptic number.

It is an amenable number.

233223311313 is a deficient number, since it is larger than the sum of its proper divisors (129393264687).

233223311313 is a wasteful number, since it uses less digits than its factorization.

233223311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11399 (or 11393 counting only the distinct ones).

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

Adding to 233223311313 its reverse (313113322332), we get a palindrome (546336633645).

The spelling of 233223311313 in words is "two hundred thirty-three billion, two hundred twenty-three million, three hundred eleven thousand, three hundred thirteen".