13144414042120 has 128 divisors (see below), whose sum is σ = 30189324672000. Its totient is φ = 5149229198080.

The previous prime is 13144414042099. The next prime is 13144414042129. The reversal of 13144414042120 is 2124041444131.

It is not an unprimeable number, because it can be changed into a prime (13144414042129) 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, 1804803999 + ... + 1804811281.

It is an arithmetic number, because the mean of its divisors is an integer number (235854099000).

Almost surely, 2^{13144414042120} is an apocalyptic number.

13144414042120 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 13144414042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094662336000).

13144414042120 is an abundant number, since it is smaller than the sum of its proper divisors (17044910629880).

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

13144414042120 is a wasteful number, since it uses less digits than its factorization.

13144414042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10123 (or 10119 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 13144414042120 its reverse (2124041444131), we get a palindrome (15268455486251).

The spelling of 13144414042120 in words is "thirteen trillion, one hundred forty-four billion, four hundred fourteen million, forty-two thousand, one hundred twenty".