123133121 has 2 divisors, whose sum is σ = 123133122. Its totient is φ = 123133120.

The previous prime is 123133117. The next prime is 123133141. The reversal of 123133121 is 121331321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122434225 + 698896 = 11065^2 + 836^2 .

It is a cyclic number.

It is not a de Polignac number, because 123133121 - 2² = 123133117 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123133121.

It is not a weakly prime, because it can be changed into another prime (123133141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61566560 + 61566561.

It is an arithmetic number, because the mean of its divisors is an integer number (61566561).

Almost surely, 2^123133121 is an apocalyptic number.

It is an amenable number.

123133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

123133121 is an equidigital number, since it uses as much as digits as its factorization.

123133121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 17.

The square root of 123133121 is about 11096.5364416110. The cubic root of 123133121 is about 497.4983321914.

Adding to 123133121 its reverse (121331321), we get a palindrome (244464442).

The spelling of 123133121 in words is "one hundred twenty-three million, one hundred thirty-three thousand, one hundred twenty-one".