123133241 has 32 divisors (see below), whose sum is σ = 157925376. Its totient is φ = 93240000.

The previous prime is 123133211. The next prime is 123133249. The reversal of 123133241 is 142331321.

It is not a de Polignac number, because 123133241 - 2¹⁸ = 122871097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123133249) 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 31 ways as a sum of consecutive naturals, for example, 552056 + ... + 552278.

It is an arithmetic number, because the mean of its divisors is an integer number (4935168).

Almost surely, 2^123133241 is an apocalyptic number.

123133241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123133241 is a deficient number, since it is larger than the sum of its proper divisors (34792135).

123133241 is a wasteful number, since it uses less digits than its factorization.

123133241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413.

The product of its digits is 432, while the sum is 20.

The square root of 123133241 is about 11096.5418487022. The cubic root of 123133241 is about 497.4984938045.

Adding to 123133241 its reverse (142331321), we get a palindrome (265464562).

The spelling of 123133241 in words is "one hundred twenty-three million, one hundred thirty-three thousand, two hundred forty-one".