13410134100 has 216 divisors, whose sum is σ = 46167357600. Its totient is φ = 3228768000.

The previous prime is 13410134099. The next prime is 13410134149. The reversal of 13410134100 is 143101431.

13410134100 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 (18).

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 71 ways as a sum of consecutive naturals, for example, 1470555 + ... + 1479645.

Almost surely, 2^13410134100 is an apocalyptic number.

13410134100 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 13410134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23083678800).

13410134100 is an abundant number, since it is smaller than the sum of its proper divisors (32757223500).

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

13410134100 is a wasteful number, since it uses less digits than its factorization.

13410134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9271 (or 9261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13410134100 its reverse (143101431), we get a palindrome (13553235531).

The spelling of 13410134100 in words is "thirteen billion, four hundred ten million, one hundred thirty-four thousand, one hundred".