1003112321 has 2 divisors, whose sum is σ = 1003112322. Its totient is φ = 1003112320.

The previous prime is 1003112309. The next prime is 1003112333. The reversal of 1003112321 is 1232113001.

1003112321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1003112309) and next prime (1003112333).

It can be written as a sum of positive squares in only one way, i.e., 1002039025 + 1073296 = 31655^2 + 1036^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003112321 - 2¹⁰ = 1003111297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1003112296 and 1003112305.

It is not a weakly prime, because it can be changed into another prime (1003112351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501556160 + 501556161.

It is an arithmetic number, because the mean of its divisors is an integer number (501556161).

Almost surely, 2^1003112321 is an apocalyptic number.

It is an amenable number.

1003112321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003112321 is an equidigital number, since it uses as much as digits as its factorization.

1003112321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1003112321 is about 31671.9484875812. The cubic root of 1003112321 is about 1001.0363659080.

Adding to 1003112321 its reverse (1232113001), we get a palindrome (2235225322).

The spelling of 1003112321 in words is "one billion, three million, one hundred twelve thousand, three hundred twenty-one".