123133129 has 18 divisors (see below), whose sum is σ = 151193754. Its totient is φ = 99973440.

The previous prime is 123133121. The next prime is 123133141. The reversal of 123133129 is 921331321.

It can be written as a sum of positive squares in only one way, i.e., 116057529 + 7075600 = 10773^2 + 2660^2 .

It is not a de Polignac number, because 123133129 - 2³ = 123133121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123133121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14209 + ... + 21169.

It is an arithmetic number, because the mean of its divisors is an integer number (8399653).

Almost surely, 2^123133129 is an apocalyptic number.

123133129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

123133129 is a deficient number, since it is larger than the sum of its proper divisors (28060625).

123133129 is an equidigital number, since it uses as much as digits as its factorization.

123133129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 6987 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The square root of 123133129 is about 11096.5368020838. The cubic root of 123133129 is about 497.4983429656.

The spelling of 123133129 in words is "one hundred twenty-three million, one hundred thirty-three thousand, one hundred twenty-nine".