13311000100 has 72 divisors (see below), whose sum is σ = 29974081536. Its totient is φ = 5125440000.

The previous prime is 13311000077. The next prime is 13311000113. The reversal of 13311000100 is 100011331.

13311000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 580860 + ... + 603340.

It is an arithmetic number, because the mean of its divisors is an integer number (416306688).

Almost surely, 2^13311000100 is an apocalyptic number.

13311000100 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 13311000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14987040768).

13311000100 is an abundant number, since it is smaller than the sum of its proper divisors (16663081436).

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

13311000100 is a wasteful number, since it uses less digits than its factorization.

13311000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22717 (or 22710 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 13311000100 its reverse (100011331), we get a palindrome (13411011431).

It can be divided in two parts, 13 and 311000100, that added together give a palindrome (311000113).

The spelling of 13311000100 in words is "thirteen billion, three hundred eleven million, one hundred", and thus it is an aban number.