13414034130300 has 576 divisors, whose sum is σ = 44532024768000. Its totient is φ = 3461904230400.

The previous prime is 13414034130253. The next prime is 13414034130317. The reversal of 13414034130300 is 303143041431.

13414034130300 is a `hidden beast` number, since 1 + 3 + 4 + 14 + 0 + 341 + 3 + 0 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10154453640 + ... + 10154454960.

It is an arithmetic number, because the mean of its divisors is an integer number (77312543000).

Almost surely, 2^{13414034130300} is an apocalyptic number.

13414034130300 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 13414034130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22266012384000).

13414034130300 is an abundant number, since it is smaller than the sum of its proper divisors (31117990637700).

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

13414034130300 is a wasteful number, since it uses less digits than its factorization.

13414034130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13414034130300 its reverse (303143041431), we get a palindrome (13717177171731).

The spelling of 13414034130300 in words is "thirteen trillion, four hundred fourteen billion, thirty-four million, one hundred thirty thousand, three hundred".