223133313 has 16 divisors (see below), whose sum is σ = 339244416. Its totient is φ = 129235200.

The previous prime is 223133297. The next prime is 223133363. The reversal of 223133313 is 313331322.

223133313 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 223133313 - 2⁴ = 223133297 is a prime.

It is a super-3 number, since 3×223133313³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 223133313.

It is not an unprimeable number, because it can be changed into a prime (223133363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167613 + ... + 168938.

It is an arithmetic number, because the mean of its divisors is an integer number (21202776).

Almost surely, 2^223133313 is an apocalyptic number.

It is an amenable number.

223133313 is a deficient number, since it is larger than the sum of its proper divisors (116111103).

223133313 is a wasteful number, since it uses less digits than its factorization.

223133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336584.

The product of its digits is 972, while the sum is 21.

The square root of 223133313 is about 14937.6475055479. The cubic root of 223133313 is about 606.5335164789.

Adding to 223133313 its reverse (313331322), we get a palindrome (536464635).

It can be divided in two parts, 223133 and 313, that added together give a triangular number (223446 = T₆₆₈).

The spelling of 223133313 in words is "two hundred twenty-three million, one hundred thirty-three thousand, three hundred thirteen".