13412101144 has 64 divisors (see below), whose sum is σ = 27994256640. Its totient is φ = 5982266880.

The previous prime is 13412101139. The next prime is 13412101201. The reversal of 13412101144 is 44110121431.

13412101144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13412101144² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2747634 + ... + 2752510.

It is an arithmetic number, because the mean of its divisors is an integer number (437410260).

Almost surely, 2^13412101144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997128320).

13412101144 is an abundant number, since it is smaller than the sum of its proper divisors (14582155496).

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

13412101144 is a wasteful number, since it uses less digits than its factorization.

13412101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 13412101144 its reverse (44110121431), we get a palindrome (57522222575).

The spelling of 13412101144 in words is "thirteen billion, four hundred twelve million, one hundred one thousand, one hundred forty-four".