13200413141104 has 160 divisors (see below), whose sum is σ = 29729158104960. Its totient is φ = 5561500041216.

The previous prime is 13200413141063. The next prime is 13200413141147. The reversal of 13200413141104 is 40114131400231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2581732852 + ... + 2581737964.

It is an arithmetic number, because the mean of its divisors is an integer number (185807238156).

Almost surely, 2^{13200413141104} is an apocalyptic number.

13200413141104 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 13200413141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864579052480).

13200413141104 is an abundant number, since it is smaller than the sum of its proper divisors (16528744963856).

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

13200413141104 is a wasteful number, since it uses less digits than its factorization.

13200413141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6867 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 13200413141104 its reverse (40114131400231), we get a palindrome (53314544541335).

The spelling of 13200413141104 in words is "thirteen trillion, two hundred billion, four hundred thirteen million, one hundred forty-one thousand, one hundred four".