123000133 has 2 divisors, whose sum is σ = 123000134. Its totient is φ = 123000132.

The previous prime is 123000037. The next prime is 123000149. The reversal of 123000133 is 331000321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108847489 + 14152644 = 10433^2 + 3762^2 .

It is a cyclic number.

It is not a de Polignac number, because 123000133 - 2⁹ = 122999621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123000193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61500066 + 61500067.

It is an arithmetic number, because the mean of its divisors is an integer number (61500067).

Almost surely, 2^123000133 is an apocalyptic number.

It is an amenable number.

123000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

123000133 is an equidigital number, since it uses as much as digits as its factorization.

123000133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 123000133 is about 11090.5425025109. The cubic root of 123000133 is about 497.3191625773.

Adding to 123000133 its reverse (331000321), we get a palindrome (454000454).

The spelling of 123000133 in words is "one hundred twenty-three million, one hundred thirty-three", and thus it is an aban number.