13313311101313 has 8 divisors (see below), whose sum is σ = 13433287721256. Its totient is φ = 13193372371200.

The previous prime is 13313311101289. The next prime is 13313311101319. The reversal of 13313311101313 is 31310111331331.

It can be written as a sum of positive squares in 4 ways, for example, as 2054655627649 + 11258655473664 = 1433407^2 + 3355392^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13313311101313 - 2⁵ = 13313311101281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13313311101319) 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 in 7 ways as a sum of consecutive naturals, for example, 8766318 + ... + 10172263.

It is an arithmetic number, because the mean of its divisors is an integer number (1679160965157).

Almost surely, 2^{13313311101313} is an apocalyptic number.

It is an amenable number.

13313311101313 is a deficient number, since it is larger than the sum of its proper divisors (119976619943).

13313311101313 is a wasteful number, since it uses less digits than its factorization.

13313311101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18944915.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 13313311101313 its reverse (31310111331331), we get a palindrome (44623422432644).

The spelling of 13313311101313 in words is "thirteen trillion, three hundred thirteen billion, three hundred eleven million, one hundred one thousand, three hundred thirteen".