1003312133233 has 2 divisors, whose sum is σ = 1003312133234. Its totient is φ = 1003312133232.

The previous prime is 1003312133221. The next prime is 1003312133237. The reversal of 1003312133233 is 3323312133001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 789579747889 + 213732385344 = 888583^2 + 462312^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003312133233 - 2⁹ = 1003312132721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003312133198 and 1003312133207.

It is not a weakly prime, because it can be changed into another prime (1003312133237) 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, 501656066616 + 501656066617.

It is an arithmetic number, because the mean of its divisors is an integer number (501656066617).

Almost surely, 2^{1003312133233} is an apocalyptic number.

It is an amenable number.

1003312133233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003312133233 is an equidigital number, since it uses as much as digits as its factorization.

1003312133233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 1003312133233 its reverse (3323312133001), we get a palindrome (4326624266234).

The spelling of 1003312133233 in words is "one trillion, three billion, three hundred twelve million, one hundred thirty-three thousand, two hundred thirty-three".