1003434112321 has 2 divisors, whose sum is σ = 1003434112322. Its totient is φ = 1003434112320.

The previous prime is 1003434112273. The next prime is 1003434112327. The reversal of 1003434112321 is 1232114343001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 792881612721 + 210552499600 = 890439^2 + 458860^2 .

It is an emirp because it is prime and its reverse (1232114343001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1003434112321 - 2³⁹ = 453678298433 is a prime.

It is not a weakly prime, because it can be changed into another prime (1003434112327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501717056160 + 501717056161.

It is an arithmetic number, because the mean of its divisors is an integer number (501717056161).

Almost surely, 2^{1003434112321} is an apocalyptic number.

It is an amenable number.

1003434112321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003434112321 is an equidigital number, since it uses as much as digits as its factorization.

1003434112321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1003434112321 its reverse (1232114343001), we get a palindrome (2235548455322).

The spelling of 1003434112321 in words is "one trillion, three billion, four hundred thirty-four million, one hundred twelve thousand, three hundred twenty-one".