13200413141201 has 32 divisors (see below), whose sum is σ = 16459310340480. Its totient is φ = 10494255309120.

The previous prime is 13200413141177. The next prime is 13200413141231. The reversal of 13200413141201 is 10214131400231.

13200413141201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-13200413141201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13200413141231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19747490 + ... + 20405003.

It is an arithmetic number, because the mean of its divisors is an integer number (514353448140).

Almost surely, 2^{13200413141201} is an apocalyptic number.

13200413141201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13200413141201 is a deficient number, since it is larger than the sum of its proper divisors (3258897199279).

13200413141201 is a wasteful number, since it uses less digits than its factorization.

13200413141201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40152558 (or 40152536 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 13200413141201 its reverse (10214131400231), we get a palindrome (23414544541432).

The spelling of 13200413141201 in words is "thirteen trillion, two hundred billion, four hundred thirteen million, one hundred forty-one thousand, two hundred one".