13330341420200 has 192 divisors, whose sum is σ = 37546720248960. Its totient is φ = 4296677253120.

The previous prime is 13330341420197. The next prime is 13330341420229. The reversal of 13330341420200 is 202414303331.

It is a self number, because there is not a number n which added to its sum of digits gives 13330341420200.

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 47 ways as a sum of consecutive naturals, for example, 20698244 + ... + 21332556.

It is an arithmetic number, because the mean of its divisors is an integer number (195555834630).

Almost surely, 2^{13330341420200} is an apocalyptic number.

13330341420200 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 13330341420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18773360124480).

13330341420200 is an abundant number, since it is smaller than the sum of its proper divisors (24216378828760).

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

13330341420200 is a wasteful number, since it uses less digits than its factorization.

13330341420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635236 (or 635227 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 13330341420200 its reverse (202414303331), we get a palindrome (13532755723531).

The spelling of 13330341420200 in words is "thirteen trillion, three hundred thirty billion, three hundred forty-one million, four hundred twenty thousand, two hundred".