13110410311321 has 2 divisors, whose sum is σ = 13110410311322. Its totient is φ = 13110410311320.

The previous prime is 13110410311183. The next prime is 13110410311331. The reversal of 13110410311321 is 12311301401131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8085998400921 + 5024411910400 = 2843589^2 + 2241520^2 .

It is an emirp because it is prime and its reverse (12311301401131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13110410311321 - 2³⁷ = 12972971357849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13110410311292 and 13110410311301.

It is not a weakly prime, because it can be changed into another prime (13110410311331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6555205155660 + 6555205155661.

It is an arithmetic number, because the mean of its divisors is an integer number (6555205155661).

Almost surely, 2^{13110410311321} is an apocalyptic number.

It is an amenable number.

13110410311321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13110410311321 is an equidigital number, since it uses as much as digits as its factorization.

13110410311321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 13110410311321 its reverse (12311301401131), we get a palindrome (25421711712452).

The spelling of 13110410311321 in words is "thirteen trillion, one hundred ten billion, four hundred ten million, three hundred eleven thousand, three hundred twenty-one".