13140312144000 has 512 divisors, whose sum is σ = 45877160160000. Its totient is φ = 3317892710400.

The previous prime is 13140312143971. The next prime is 13140312144073. The reversal of 13140312144000 is 44121304131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3021453826 + ... + 3021458174.

Almost surely, 2^{13140312144000} is an apocalyptic number.

13140312144000 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 13140312144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22938580080000).

13140312144000 is an abundant number, since it is smaller than the sum of its proper divisors (32736848016000).

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

13140312144000 is a wasteful number, since it uses less digits than its factorization.

13140312144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7713 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13140312144000 its reverse (44121304131), we get a palindrome (13184433448131).

The spelling of 13140312144000 in words is "thirteen trillion, one hundred forty billion, three hundred twelve million, one hundred forty-four thousand".