13330103100 has 144 divisors (see below), whose sum is σ = 40323252480. Its totient is φ = 3393561600.

The previous prime is 13330103099. The next prime is 13330103161. The reversal of 13330103100 is 130103331.

13330103100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13330103100² (a number of 21 digits) contains 22 as substring.

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 13330103100.

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 47 ways as a sum of consecutive naturals, for example, 4269540 + ... + 4272660.

Almost surely, 2^13330103100 is an apocalyptic number.

13330103100 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 13330103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20161626240).

13330103100 is an abundant number, since it is smaller than the sum of its proper divisors (26993149380).

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

13330103100 is a wasteful number, since it uses less digits than its factorization.

13330103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3773 counting only the distinct ones).

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

Adding to 13330103100 its reverse (130103331), we get a palindrome (13460206431).

The spelling of 13330103100 in words is "thirteen billion, three hundred thirty million, one hundred three thousand, one hundred".