123133331 has 2 divisors, whose sum is σ = 123133332. Its totient is φ = 123133330.

The previous prime is 123133313. The next prime is 123133343. The reversal of 123133331 is 133331321.

Together with previous prime (123133313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (133331321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123133331 - 2¹⁸ = 122871187 is a prime.

It is a super-2 number, since 2×123133331² = 30323634406311122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123133301) 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 as a sum of consecutive naturals, namely, 61566665 + 61566666.

It is an arithmetic number, because the mean of its divisors is an integer number (61566666).

Almost surely, 2^123133331 is an apocalyptic number.

123133331 is a deficient number, since it is larger than the sum of its proper divisors (1).

123133331 is an equidigital number, since it uses as much as digits as its factorization.

123133331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 20.

The square root of 123133331 is about 11096.5459040190. The cubic root of 123133331 is about 497.4986150143.

Adding to 123133331 its reverse (133331321), we get a palindrome (256464652).

The spelling of 123133331 in words is "one hundred twenty-three million, one hundred thirty-three thousand, three hundred thirty-one".