13311021330112 has 224 divisors, whose sum is σ = 30296805251328. Its totient is φ = 5748019200000.

The previous prime is 13311021330077. The next prime is 13311021330127. The reversal of 13311021330112 is 21103312011331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410805112 + ... + 410837512.

It is an arithmetic number, because the mean of its divisors is an integer number (135253594872).

Almost surely, 2^{13311021330112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311021330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148402625664).

13311021330112 is an abundant number, since it is smaller than the sum of its proper divisors (16985783921216).

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

13311021330112 is a wasteful number, since it uses less digits than its factorization.

13311021330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32839 (or 32829 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13311021330112 its reverse (21103312011331), we get a palindrome (34414333341443).

The spelling of 13311021330112 in words is "thirteen trillion, three hundred eleven billion, twenty-one million, three hundred thirty thousand, one hundred twelve".