13114105804800 has 4320 divisors, whose sum is σ = 65843531994240. Its totient is φ = 2515392921600.

The previous prime is 13114105804799. The next prime is 13114105804801. The reversal of 13114105804800 is 840850141131.

13114105804800 is a `hidden beast` number, since 1 + 3 + 114 + 10 + 58 + 0 + 480 + 0 = 666.

13114105804800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13114105804799) and next prime (13114105804801).

It is a tau number, because it is divible by the number of its divisors (4320).

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 (13114105804801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1008777369594 + ... + 1008777369606.

It is an arithmetic number, because the mean of its divisors is an integer number (15241558332).

Almost surely, 2^{13114105804800} is an apocalyptic number.

13114105804800 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 13114105804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32921765997120).

13114105804800 is an abundant number, since it is smaller than the sum of its proper divisors (52729426189440).

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

13114105804800 is an frugal number, since it uses more digits than its factorization.

13114105804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 13114105804800 its reverse (840850141131), we get a palindrome (13954955945931).

The spelling of 13114105804800 in words is "thirteen trillion, one hundred fourteen billion, one hundred five million, eight hundred four thousand, eight hundred".