13104414200 has 96 divisors (see below), whose sum is σ = 30774920160. Its totient is φ = 5189184000.

The previous prime is 13104414173. The next prime is 13104414203. The reversal of 13104414200 is 241440131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104414203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11988854 + ... + 11989946.

It is an arithmetic number, because the mean of its divisors is an integer number (320572085).

Almost surely, 2^13104414200 is an apocalyptic number.

13104414200 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 13104414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15387460080).

13104414200 is an abundant number, since it is smaller than the sum of its proper divisors (17670505960).

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

13104414200 is a wasteful number, since it uses less digits than its factorization.

13104414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13104414200 its reverse (241440131), we get a palindrome (13345854331).

The spelling of 13104414200 in words is "thirteen billion, one hundred four million, four hundred fourteen thousand, two hundred".