10003100133137 has 2 divisors, whose sum is σ = 10003100133138. Its totient is φ = 10003100133136.

The previous prime is 10003100133109. The next prime is 10003100133199. The reversal of 10003100133137 is 73133100130001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9652759258321 + 350340874816 = 3106889^2 + 591896^2 .

It is an emirp because it is prime and its reverse (73133100130001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10003100133137 - 2⁸ = 10003100132881 is a prime.

It is not a weakly prime, because it can be changed into another prime (10003100133937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001550066568 + 5001550066569.

It is an arithmetic number, because the mean of its divisors is an integer number (5001550066569).

Almost surely, 2^{10003100133137} is an apocalyptic number.

It is an amenable number.

10003100133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003100133137 is an equidigital number, since it uses as much as digits as its factorization.

10003100133137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 23.

Adding to 10003100133137 its reverse (73133100130001), we get a palindrome (83136200263138).

The spelling of 10003100133137 in words is "ten trillion, three billion, one hundred million, one hundred thirty-three thousand, one hundred thirty-seven".