13310330100 has 144 divisors (see below), whose sum is σ = 39963067200. Its totient is φ = 3416376320.

The previous prime is 13310330093. The next prime is 13310330107. The reversal of 13310330100 is 103301331.

13310330100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13310330093) and next prime (13310330107).

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 13310330100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310330107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3016696 + ... + 3021104.

It is an arithmetic number, because the mean of its divisors is an integer number (277521300).

Almost surely, 2^13310330100 is an apocalyptic number.

13310330100 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 13310330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19981533600).

13310330100 is an abundant number, since it is smaller than the sum of its proper divisors (26652737100).

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

13310330100 is a wasteful number, since it uses less digits than its factorization.

13310330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13310330100 its reverse (103301331), we get a palindrome (13413631431).

The spelling of 13310330100 in words is "thirteen billion, three hundred ten million, three hundred thirty thousand, one hundred".