13141870423200 has 288 divisors, whose sum is σ = 47540300976000. Its totient is φ = 3503721922560.

The previous prime is 13141870423189. The next prime is 13141870423207. The reversal of 13141870423200 is 232407814131.

13141870423200 is a `hidden beast` number, since 1 + 3 + 1 + 418 + 7 + 0 + 4 + 232 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (13141870423207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100871701 + ... + 101001899.

It is an arithmetic number, because the mean of its divisors is an integer number (165070489500).

Almost surely, 2^{13141870423200} is an apocalyptic number.

13141870423200 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 13141870423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23770150488000).

13141870423200 is an abundant number, since it is smaller than the sum of its proper divisors (34398430552800).

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

13141870423200 is a wasteful number, since it uses less digits than its factorization.

13141870423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134901 (or 134882 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13141870423200 in words is "thirteen trillion, one hundred forty-one billion, eight hundred seventy million, four hundred twenty-three thousand, two hundred".