10003100133937 has 2 divisors, whose sum is σ = 10003100133938. Its totient is φ = 10003100133936.

The previous prime is 10003100133913. The next prime is 10003100133947. The reversal of 10003100133937 is 73933100130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7827147671616 + 2175952462321 = 2797704^2 + 1475111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10003100133937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10003100133899 and 10003100133908.

It is not a weakly prime, because it can be changed into another prime (10003100133947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001550066968 + 5001550066969.

It is an arithmetic number, because the mean of its divisors is an integer number (5001550066969).

Almost surely, 2^{10003100133937} is an apocalyptic number.

It is an amenable number.

10003100133937 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003100133937 is an equidigital number, since it uses as much as digits as its factorization.

10003100133937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5103, while the sum is 31.

Adding to 10003100133937 its reverse (73933100130001), we get a palindrome (83936200263938).

The spelling of 10003100133937 in words is "ten trillion, three billion, one hundred million, one hundred thirty-three thousand, nine hundred thirty-seven".