10003133123 has 2 divisors, whose sum is σ = 10003133124. Its totient is φ = 10003133122.

The previous prime is 10003133099. The next prime is 10003133177. The reversal of 10003133123 is 32133130001.

10003133123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10003133123 - 2¹² = 10003129027 is a prime.

It is not a weakly prime, because it can be changed into another prime (10003183123) 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, 5001566561 + 5001566562.

It is an arithmetic number, because the mean of its divisors is an integer number (5001566562).

Almost surely, 2^10003133123 is an apocalyptic number.

10003133123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003133123 is an equidigital number, since it uses as much as digits as its factorization.

10003133123 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.

Adding to 10003133123 its reverse (32133130001), we get a palindrome (42136263124).

The spelling of 10003133123 in words is "ten billion, three million, one hundred thirty-three thousand, one hundred twenty-three".