1003332112313 has 2 divisors, whose sum is σ = 1003332112314. Its totient is φ = 1003332112312.

The previous prime is 1003332112273. The next prime is 1003332112319. The reversal of 1003332112313 is 3132112333001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 547973023504 + 455359088809 = 740252^2 + 674803^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003332112313 - 2¹⁰ = 1003332111289 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 (1003332112319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501666056156 + 501666056157.

It is an arithmetic number, because the mean of its divisors is an integer number (501666056157).

Almost surely, 2^{1003332112313} is an apocalyptic number.

It is an amenable number.

1003332112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003332112313 is an equidigital number, since it uses as much as digits as its factorization.

1003332112313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1003332112313 its reverse (3132112333001), we get a palindrome (4135444445314).

The spelling of 1003332112313 in words is "one trillion, three billion, three hundred thirty-two million, one hundred twelve thousand, three hundred thirteen".