13134243311200 has 144 divisors (see below), whose sum is σ = 35018602259760. Its totient is φ = 4770664448000.

The previous prime is 13134243311183. The next prime is 13134243311201. The reversal of 13134243311200 is 211334243131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134243311201) 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, 6905736 + ... + 8599864.

It is an arithmetic number, because the mean of its divisors is an integer number (243184737915).

Almost surely, 2^{13134243311200} is an apocalyptic number.

13134243311200 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 13134243311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17509301129880).

13134243311200 is an abundant number, since it is smaller than the sum of its proper divisors (21884358948560).

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

13134243311200 is a wasteful number, since it uses less digits than its factorization.

13134243311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695041 (or 1695028 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13134243311200 its reverse (211334243131), we get a palindrome (13345577554331).

The spelling of 13134243311200 in words is "thirteen trillion, one hundred thirty-four billion, two hundred forty-three million, three hundred eleven thousand, two hundred".