123133101 has 64 divisors (see below), whose sum is σ = 212459520. Its totient is φ = 61689600.

The previous prime is 123133093. The next prime is 123133117. The reversal of 123133101 is 101331321.

It is not a de Polignac number, because 123133101 - 2³ = 123133093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133121) 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 63 ways as a sum of consecutive naturals, for example, 815376 + ... + 815526.

It is an arithmetic number, because the mean of its divisors is an integer number (3319680).

Almost surely, 2^123133101 is an apocalyptic number.

It is an amenable number.

123133101 is a deficient number, since it is larger than the sum of its proper divisors (89326419).

123133101 is a wasteful number, since it uses less digits than its factorization.

123133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 123133101 is about 11096.5355404288. The cubic root of 123133101 is about 497.4983052559.

Adding to 123133101 its reverse (101331321), we get a palindrome (224464422).

The spelling of 123133101 in words is "one hundred twenty-three million, one hundred thirty-three thousand, one hundred one".