123213321 has 24 divisors (see below), whose sum is σ = 221891904. Its totient is φ = 64006560.

The previous prime is 123213289. The next prime is 123213401. The reversal of 123213321 is 123312321.

123213321 is a `hidden beast` number, since 12 + 321 + 332 + 1 = 666.

It is not a de Polignac number, because 123213321 - 2⁵ = 123213289 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123213294 and 123213303.

It is not an unprimeable number, because it can be changed into a prime (123211321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88206 + ... + 89591.

It is an arithmetic number, because the mean of its divisors is an integer number (9245496).

Almost surely, 2^123213321 is an apocalyptic number.

123213321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123213321 is a deficient number, since it is larger than the sum of its proper divisors (98678583).

123213321 is a wasteful number, since it uses less digits than its factorization.

123213321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177821 (or 177818 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 123213321 is about 11100.1495935866. The cubic root of 123213321 is about 497.6063202143.

Adding to 123213321 its reverse (123312321), we get a palindrome (246525642).

It can be divided in two parts, 123 and 213321, that added together give a square (213444 = 462²).

The spelling of 123213321 in words is "one hundred twenty-three million, two hundred thirteen thousand, three hundred twenty-one".