1000103333137 has 2 divisors, whose sum is σ = 1000103333138. Its totient is φ = 1000103333136.

The previous prime is 1000103333083. The next prime is 1000103333171. The reversal of 1000103333137 is 7313333010001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 925888497361 + 74214835776 = 962231^2 + 272424^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000103333137 - 2²³ = 1000094944529 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000103330137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500051666568 + 500051666569.

It is an arithmetic number, because the mean of its divisors is an integer number (500051666569).

Almost surely, 2^{1000103333137} is an apocalyptic number.

It is an amenable number.

1000103333137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000103333137 is an equidigital number, since it uses as much as digits as its factorization.

1000103333137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 25.

Adding to 1000103333137 its reverse (7313333010001), we get a palindrome (8313436343138).

The spelling of 1000103333137 in words is "one trillion, one hundred three million, three hundred thirty-three thousand, one hundred thirty-seven".