13320003011100 has 576 divisors, whose sum is σ = 41680862254080. Its totient is φ = 3276229017600.

The previous prime is 13320003011059. The next prime is 13320003011131. The reversal of 13320003011100 is 111030002331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13320003011100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16712675902 + ... + 16712676698.

It is an arithmetic number, because the mean of its divisors is an integer number (72362608080).

Almost surely, 2^{13320003011100} is an apocalyptic number.

13320003011100 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 13320003011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20840431127040).

13320003011100 is an abundant number, since it is smaller than the sum of its proper divisors (28360859242980).

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

13320003011100 is a wasteful number, since it uses less digits than its factorization.

13320003011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13320003011100 its reverse (111030002331), we get a palindrome (13431033013431).

The spelling of 13320003011100 in words is "thirteen trillion, three hundred twenty billion, three million, eleven thousand, one hundred".