123333112321 has 2 divisors, whose sum is σ = 123333112322. Its totient is φ = 123333112320.

The previous prime is 123333112277. The next prime is 123333112327. The reversal of 123333112321 is 123211333321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109518636096 + 13814476225 = 330936^2 + 117535^2 .

It is an emirp because it is prime and its reverse (123211333321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123333112321 - 2¹¹ = 123333110273 is a prime.

It is a super-2 number, since 2×123333112321² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123333112327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61666556160 + 61666556161.

It is an arithmetic number, because the mean of its divisors is an integer number (61666556161).

Almost surely, 2^123333112321 is an apocalyptic number.

It is an amenable number.

123333112321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123333112321 is an equidigital number, since it uses as much as digits as its factorization.

123333112321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

Adding to 123333112321 its reverse (123211333321), we get a palindrome (246544445642).

The spelling of 123333112321 in words is "one hundred twenty-three billion, three hundred thirty-three million, one hundred twelve thousand, three hundred twenty-one".