13110457243800 has 384 divisors, whose sum is σ = 46596634767360. Its totient is φ = 2987133811200.

The previous prime is 13110457243783. The next prime is 13110457243823. The reversal of 13110457243800 is 834275401131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1810082979 + ... + 1810090221.

It is an arithmetic number, because the mean of its divisors is an integer number (121345403040).

Almost surely, 2^{13110457243800} is an apocalyptic number.

13110457243800 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 13110457243800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298317383680).

13110457243800 is an abundant number, since it is smaller than the sum of its proper divisors (33486177523560).

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

13110457243800 is a wasteful number, since it uses less digits than its factorization.

13110457243800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 13110457243800 in words is "thirteen trillion, one hundred ten billion, four hundred fifty-seven million, two hundred forty-three thousand, eight hundred".