123000331033 has 2 divisors, whose sum is σ = 123000331034. Its totient is φ = 123000331032.

The previous prime is 123000330997. The next prime is 123000331049. The reversal of 123000331033 is 330133000321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76879761984 + 46120569049 = 277272^2 + 214757^2 .

It is a cyclic number.

It is not a de Polignac number, because 123000331033 - 2²⁹ = 122463460121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123000331033.

It is not a weakly prime, because it can be changed into another prime (123000331073) 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 as a sum of consecutive naturals, namely, 61500165516 + 61500165517.

It is an arithmetic number, because the mean of its divisors is an integer number (61500165517).

Almost surely, 2^123000331033 is an apocalyptic number.

It is an amenable number.

123000331033 is a deficient number, since it is larger than the sum of its proper divisors (1).

123000331033 is an equidigital number, since it uses as much as digits as its factorization.

123000331033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 123000331033 its reverse (330133000321), we get a palindrome (453133331354).

The spelling of 123000331033 in words is "one hundred twenty-three billion, three hundred thirty-one thousand, thirty-three".