1003312210073 has 2 divisors, whose sum is σ = 1003312210074. Its totient is φ = 1003312210072.

The previous prime is 1003312210027. The next prime is 1003312210133. The reversal of 1003312210073 is 3700122133001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 581685358489 + 421626851584 = 762683^2 + 649328^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003312210073 - 2⁶ = 1003312210009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1003312260073) 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, 501656105036 + 501656105037.

It is an arithmetic number, because the mean of its divisors is an integer number (501656105037).

Almost surely, 2^{1003312210073} is an apocalyptic number.

It is an amenable number.

1003312210073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003312210073 is an equidigital number, since it uses as much as digits as its factorization.

1003312210073 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 1003312210073 its reverse (3700122133001), we get a palindrome (4703434343074).

The spelling of 1003312210073 in words is "one trillion, three billion, three hundred twelve million, two hundred ten thousand, seventy-three".