13313211110321 has 16 divisors (see below), whose sum is σ = 14358776357520. Its totient is φ = 12298860625920.

The previous prime is 13313211110299. The next prime is 13313211110333. The reversal of 13313211110321 is 12301111231331.

It can be written as a sum of positive squares in 8 ways, for example, as 1188887110321 + 12124324000000 = 1090361^2 + 3482000^2 .

It is not a de Polignac number, because 13313211110321 - 2³⁴ = 13296031241137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13313211110821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31906640 + ... + 32321201.

It is an arithmetic number, because the mean of its divisors is an integer number (897423522345).

Almost surely, 2^{13313211110321} is an apocalyptic number.

It is an amenable number.

13313211110321 is a deficient number, since it is larger than the sum of its proper divisors (1045565247199).

13313211110321 is a wasteful number, since it uses less digits than its factorization.

13313211110321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64228084.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 13313211110321 its reverse (12301111231331), we get a palindrome (25614322341652).

The spelling of 13313211110321 in words is "thirteen trillion, three hundred thirteen billion, two hundred eleven million, one hundred ten thousand, three hundred twenty-one".