13141345200 has 120 divisors (see below), whose sum is σ = 42482734800. Its totient is φ = 3472174080.

The previous prime is 13141345181. The next prime is 13141345201. The reversal of 13141345200 is 254314131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13141345201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80566 + ... + 181034.

It is an arithmetic number, because the mean of its divisors is an integer number (354022790).

Almost surely, 2^13141345200 is an apocalyptic number.

13141345200 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 13141345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21241367400).

13141345200 is an abundant number, since it is smaller than the sum of its proper divisors (29341389600).

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

13141345200 is a wasteful number, since it uses less digits than its factorization.

13141345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100599 (or 100588 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13141345200 its reverse (254314131), we get a palindrome (13395659331).

The spelling of 13141345200 in words is "thirteen billion, one hundred forty-one million, three hundred forty-five thousand, two hundred".