1003000133117 has 2 divisors, whose sum is σ = 1003000133118. Its totient is φ = 1003000133116.

The previous prime is 1003000133081. The next prime is 1003000133173. The reversal of 1003000133117 is 7113310003001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 780830253316 + 222169879801 = 883646^2 + 471349^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003000133117 - 2³⁴ = 985820263933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003000133917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501500066558 + 501500066559.

It is an arithmetic number, because the mean of its divisors is an integer number (501500066559).

Almost surely, 2^{1003000133117} is an apocalyptic number.

It is an amenable number.

1003000133117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003000133117 is an equidigital number, since it uses as much as digits as its factorization.

1003000133117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

Adding to 1003000133117 its reverse (7113310003001), we get a palindrome (8116310136118).

The spelling of 1003000133117 in words is "one trillion, three billion, one hundred thirty-three thousand, one hundred seventeen".