1002003133217 has 2 divisors, whose sum is σ = 1002003133218. Its totient is φ = 1002003133216.

The previous prime is 1002003133211. The next prime is 1002003133279. The reversal of 1002003133217 is 7123313002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 601983567376 + 400019565841 = 775876^2 + 632471^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002003133217 - 2¹⁴ = 1002003116833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002003133192 and 1002003133201.

It is not a weakly prime, because it can be changed into another prime (1002003133211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501001566608 + 501001566609.

It is an arithmetic number, because the mean of its divisors is an integer number (501001566609).

Almost surely, 2^{1002003133217} is an apocalyptic number.

It is an amenable number.

1002003133217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002003133217 is an equidigital number, since it uses as much as digits as its factorization.

1002003133217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

Adding to 1002003133217 its reverse (7123313002001), we get a palindrome (8125316135218).

The spelling of 1002003133217 in words is "one trillion, two billion, three million, one hundred thirty-three thousand, two hundred seventeen".