13311021326016 has 112 divisors (see below), whose sum is σ = 35396288815104. Its totient is φ = 4414661339136.

The previous prime is 13311021326011. The next prime is 13311021326017. The reversal of 13311021326016 is 61062312011331.

It is not an unprimeable number, because it can be changed into a prime (13311021326011) 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, 77968300 + ... + 78138836.

It is an arithmetic number, because the mean of its divisors is an integer number (316038292992).

Almost surely, 2^{13311021326016} is an apocalyptic number.

13311021326016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311021326016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17698144407552).

13311021326016 is an abundant number, since it is smaller than the sum of its proper divisors (22085267489088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13311021326016 is a wasteful number, since it uses less digits than its factorization.

13311021326016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172598 (or 172588 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

Adding to 13311021326016 its reverse (61062312011331), we get a palindrome (74373333337347).

The spelling of 13311021326016 in words is "thirteen trillion, three hundred eleven billion, twenty-one million, three hundred twenty-six thousand, sixteen".