123131033 has 2 divisors, whose sum is σ = 123131034. Its totient is φ = 123131032.

The previous prime is 123131009. The next prime is 123131083. The reversal of 123131033 is 330131321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116920969 + 6210064 = 10813^2 + 2492^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123131033 is a prime.

It is a super-2 number, since 2×123131033² = 30322502575294178, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (123131083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61565516 + 61565517.

It is an arithmetic number, because the mean of its divisors is an integer number (61565517).

Almost surely, 2^123131033 is an apocalyptic number.

It is an amenable number.

123131033 is a deficient number, since it is larger than the sum of its proper divisors (1).

123131033 is an equidigital number, since it uses as much as digits as its factorization.

123131033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 123131033 is about 11096.4423578010. The cubic root of 123131033 is about 497.4955201065.

Adding to 123131033 its reverse (330131321), we get a palindrome (453262354).

The spelling of 123131033 in words is "one hundred twenty-three million, one hundred thirty-one thousand, thirty-three".