13200313132104 has 128 divisors (see below), whose sum is σ = 38678238720000. Its totient is φ = 3675602939904.

The previous prime is 13200313132103. The next prime is 13200313132159. The reversal of 13200313132104 is 40123131300231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13200313132103) 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, 1208737 + ... + 5278415.

It is an arithmetic number, because the mean of its divisors is an integer number (302173740000).

Almost surely, 2^{13200313132104} is an apocalyptic number.

13200313132104 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 13200313132104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339119360000).

13200313132104 is an abundant number, since it is smaller than the sum of its proper divisors (25477925587896).

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

13200313132104 is a wasteful number, since it uses less digits than its factorization.

13200313132104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070187 (or 4070183 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13200313132104 its reverse (40123131300231), we get a palindrome (53323444432335).

The spelling of 13200313132104 in words is "thirteen trillion, two hundred billion, three hundred thirteen million, one hundred thirty-two thousand, one hundred four".