123331005 has 96 divisors (see below), whose sum is σ = 268579584. Its totient is φ = 53001216.

The previous prime is 123331001. The next prime is 123331007. The reversal of 123331005 is 500133321.

It is not a de Polignac number, because 123331005 - 2² = 123331001 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123331001) 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 in 95 ways as a sum of consecutive naturals, for example, 144159 + ... + 145011.

It is an arithmetic number, because the mean of its divisors is an integer number (2797704).

Almost surely, 2^123331005 is an apocalyptic number.

123331005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123331005 is an abundant number, since it is smaller than the sum of its proper divisors (145248579).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123331005 is an equidigital number, since it uses as much as digits as its factorization.

123331005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 123331005 is about 11105.4493380502. The cubic root of 123331005 is about 497.7646950487.

Adding to 123331005 its reverse (500133321), we get a palindrome (623464326).

The spelling of 123331005 in words is "one hundred twenty-three million, three hundred thirty-one thousand, five".