13414144133120 has 96 divisors (see below), whose sum is σ = 32320761782400. Its totient is φ = 5343206227968.

The previous prime is 13414144133119. The next prime is 13414144133123. The reversal of 13414144133120 is 2133144141431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13414144133123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293174 + ... + 5187893.

It is an arithmetic number, because the mean of its divisors is an integer number (336674601900).

Almost surely, 2^{13414144133120} is an apocalyptic number.

13414144133120 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 13414144133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16160380891200).

13414144133120 is an abundant number, since it is smaller than the sum of its proper divisors (18906617649280).

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

13414144133120 is an equidigital number, since it uses as much as digits as its factorization.

13414144133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481333 (or 5481313 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 13414144133120 its reverse (2133144141431), we get a palindrome (15547288274551).

The spelling of 13414144133120 in words is "thirteen trillion, four hundred fourteen billion, one hundred forty-four million, one hundred thirty-three thousand, one hundred twenty".