13003002101321 has 2 divisors, whose sum is σ = 13003002101322. Its totient is φ = 13003002101320.

The previous prime is 13003002101311. The next prime is 13003002101347. The reversal of 13003002101321 is 12310120030031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12489608356096 + 513393745225 = 3534064^2 + 716515^2 .

It is a cyclic number.

It is not a de Polignac number, because 13003002101321 - 2¹⁴ = 13003002084937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13003002101321.

It is not a weakly prime, because it can be changed into another prime (13003002101311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501501050660 + 6501501050661.

It is an arithmetic number, because the mean of its divisors is an integer number (6501501050661).

Almost surely, 2^{13003002101321} is an apocalyptic number.

It is an amenable number.

13003002101321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003002101321 is an equidigital number, since it uses as much as digits as its factorization.

13003002101321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13003002101321 its reverse (12310120030031), we get a palindrome (25313122131352).

The spelling of 13003002101321 in words is "thirteen trillion, three billion, two million, one hundred one thousand, three hundred twenty-one".