13104422444100 has 144 divisors (see below), whose sum is σ = 40853882684160. Its totient is φ = 3223978137600.

The previous prime is 13104422444083. The next prime is 13104422444101. The reversal of 13104422444100 is 144422440131.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13104422444101) by changing a digit.

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, 6398956 + ... + 8194844.

It is an arithmetic number, because the mean of its divisors is an integer number (283707518640).

Almost surely, 2^{13104422444100} is an apocalyptic number.

13104422444100 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 13104422444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20426941342080).

13104422444100 is an abundant number, since it is smaller than the sum of its proper divisors (27749460240060).

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

13104422444100 is a wasteful number, since it uses less digits than its factorization.

13104422444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797790 (or 1797783 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 13104422444100 its reverse (144422440131), we get a palindrome (13248844884231).

The spelling of 13104422444100 in words is "thirteen trillion, one hundred four billion, four hundred twenty-two million, four hundred forty-four thousand, one hundred".