13301424505200 has 480 divisors, whose sum is σ = 49898874142656. Its totient is φ = 2998308372480.

The previous prime is 13301424505181. The next prime is 13301424505231. The reversal of 13301424505200 is 250542410331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9134614 + ... + 10490186.

Almost surely, 2^{13301424505200} is an apocalyptic number.

13301424505200 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 13301424505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24949437071328).

13301424505200 is an abundant number, since it is smaller than the sum of its proper divisors (36597449637456).

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

13301424505200 is a wasteful number, since it uses less digits than its factorization.

13301424505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355661 (or 1355650 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13301424505200 its reverse (250542410331), we get a palindrome (13551966915531).

The spelling of 13301424505200 in words is "thirteen trillion, three hundred one billion, four hundred twenty-four million, five hundred five thousand, two hundred".