13321331101100 has 432 divisors, whose sum is σ = 33901460167680. Its totient is φ = 4499974080000.

The previous prime is 13321331101097. The next prime is 13321331101109. The reversal of 13321331101100 is 110113312331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13321331101109) 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 143 ways as a sum of consecutive naturals, for example, 3720001310 + ... + 3720004890.

It is an arithmetic number, because the mean of its divisors is an integer number (78475602240).

Almost surely, 2^{13321331101100} is an apocalyptic number.

13321331101100 is a gapful number since it is divisible by the number (10) 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 13321331101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16950730083840).

13321331101100 is an abundant number, since it is smaller than the sum of its proper divisors (20580129066580).

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

13321331101100 is a wasteful number, since it uses less digits than its factorization.

13321331101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13321331101100 its reverse (110113312331), we get a palindrome (13431444413431).

It can be divided in two parts, 13321331 and 101100, that added together give a palindrome (13422431).

The spelling of 13321331101100 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirty-one million, one hundred one thousand, one hundred".