13108707144000 has 896 divisors, whose sum is σ = 51902520284160. Its totient is φ = 3219996672000.

The previous prime is 13108707143981. The next prime is 13108707144007. The reversal of 13108707144000 is 44170780131.

13108707144000 is a `hidden beast` number, since 13 + 108 + 70 + 71 + 4 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13108707144007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1412419360 + ... + 1412428640.

It is an arithmetic number, because the mean of its divisors is an integer number (57926919960).

Almost surely, 2^{13108707144000} is an apocalyptic number.

13108707144000 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 13108707144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25951260142080).

13108707144000 is an abundant number, since it is smaller than the sum of its proper divisors (38793813140160).

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

13108707144000 is a wasteful number, since it uses less digits than its factorization.

13108707144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9807 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 13108707144000 in words is "thirteen trillion, one hundred eight billion, seven hundred seven million, one hundred forty-four thousand".