13243014000000 has 1568 divisors, whose sum is σ = 51213225712320. Its totient is φ = 3405888000000.

The previous prime is 13243013999851. The next prime is 13243014000001. The reversal of 13243014000000 is 41034231.

13243014000000 is a `hidden beast` number, since 1 + 324 + 301 + 40 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13243014000001) by changing a digit.

It is a polite number, since it can be written in 195 ways as a sum of consecutive naturals, for example, 45197999854 + ... + 45198000146.

It is an arithmetic number, because the mean of its divisors is an integer number (32661495990).

Almost surely, 2^{13243014000000} is an apocalyptic number.

13243014000000 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 13243014000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25606612856160).

13243014000000 is an abundant number, since it is smaller than the sum of its proper divisors (37970211712320).

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

13243014000000 is an frugal number, since it uses more digits than its factorization.

13243014000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13243014000000 its reverse (41034231), we get a palindrome (13243055034231).

The spelling of 13243014000000 in words is "thirteen trillion, two hundred forty-three billion, fourteen million", and thus it is an aban number.