1003323321313 has 2 divisors, whose sum is σ = 1003323321314. Its totient is φ = 1003323321312.

The previous prime is 1003323321307. The next prime is 1003323321331. The reversal of 1003323321313 is 3131233233001.

Together with next prime (1003323321331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 566900573184 + 436422748129 = 752928^2 + 660623^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003323321313 - 2³⁷ = 865884367841 is a prime.

It is not a weakly prime, because it can be changed into another prime (1003323321713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501661660656 + 501661660657.

It is an arithmetic number, because the mean of its divisors is an integer number (501661660657).

Almost surely, 2^{1003323321313} is an apocalyptic number.

It is an amenable number.

1003323321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003323321313 is an equidigital number, since it uses as much as digits as its factorization.

1003323321313 is an evil number, because the sum of its binary digits is even.

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

Adding to 1003323321313 its reverse (3131233233001), we get a palindrome (4134556554314).

The spelling of 1003323321313 in words is "one trillion, three billion, three hundred twenty-three million, three hundred twenty-one thousand, three hundred thirteen".