10003123133321 has 2 divisors, whose sum is σ = 10003123133322. Its totient is φ = 10003123133320.

The previous prime is 10003123133279. The next prime is 10003123133359. The reversal of 10003123133321 is 12333132130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9246981583225 + 756141550096 = 3040885^2 + 869564^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003123133321 - 2¹⁸ = 10003122871177 is a prime.

It is not a weakly prime, because it can be changed into another prime (10003123133621) 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, 5001561566660 + 5001561566661.

It is an arithmetic number, because the mean of its divisors is an integer number (5001561566661).

Almost surely, 2^{10003123133321} is an apocalyptic number.

It is an amenable number.

10003123133321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003123133321 is an equidigital number, since it uses as much as digits as its factorization.

10003123133321 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 10003123133321 its reverse (12333132130001), we get a palindrome (22336255263322).

The spelling of 10003123133321 in words is "ten trillion, three billion, one hundred twenty-three million, one hundred thirty-three thousand, three hundred twenty-one".