13140241200 has 300 divisors, whose sum is σ = 48168241440. Its totient is φ = 3429112320.

The previous prime is 13140241199. The next prime is 13140241207. The reversal of 13140241200 is 214204131.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13140241207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1518486 + ... + 1527114.

Almost surely, 2^13140241200 is an apocalyptic number.

13140241200 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 13140241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24084120720).

13140241200 is an abundant number, since it is smaller than the sum of its proper divisors (35028000240).

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

13140241200 is a wasteful number, since it uses less digits than its factorization.

13140241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8706 (or 8686 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13140241200 its reverse (214204131), we get a palindrome (13354445331).

The spelling of 13140241200 in words is "thirteen billion, one hundred forty million, two hundred forty-one thousand, two hundred".