10003100133109 has 2 divisors, whose sum is σ = 10003100133110. Its totient is φ = 10003100133108.

The previous prime is 10003100133083. The next prime is 10003100133137. The reversal of 10003100133109 is 90133100130001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9724761587025 + 278338546084 = 3118455^2 + 527578^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003100133109 - 2²³ = 10003091744501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10003100133109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003100133199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001550066554 + 5001550066555.

It is an arithmetic number, because the mean of its divisors is an integer number (5001550066555).

Almost surely, 2^{10003100133109} is an apocalyptic number.

It is an amenable number.

10003100133109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003100133109 is an equidigital number, since it uses as much as digits as its factorization.

10003100133109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 22.

The spelling of 10003100133109 in words is "ten trillion, three billion, one hundred million, one hundred thirty-three thousand, one hundred nine".