13191414050304 has 1280 divisors, whose sum is σ = 48079965542400. Its totient is φ = 3531224678400.

The previous prime is 13191414050279. The next prime is 13191414050371. The reversal of 13191414050304 is 40305041419131.

It is a happy number.

13191414050304 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 1 + 4 + 140 + 503 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15041520714 + ... + 15041521590.

It is an arithmetic number, because the mean of its divisors is an integer number (37562473080).

Almost surely, 2^{13191414050304} is an apocalyptic number.

13191414050304 is a gapful number since it is divisible by the number (14) 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 13191414050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24039982771200).

13191414050304 is an abundant number, since it is smaller than the sum of its proper divisors (34888551492096).

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

13191414050304 is an frugal number, since it uses more digits than its factorization.

13191414050304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 13191414050304 its reverse (40305041419131), we get a palindrome (53496455469435).

The spelling of 13191414050304 in words is "thirteen trillion, one hundred ninety-one billion, four hundred fourteen million, fifty thousand, three hundred four".