13144201020 has 96 divisors (see below), whose sum is σ = 41038045440. Its totient is φ = 3492694080.

The previous prime is 13144200967. The next prime is 13144201027. The reversal of 13144201020 is 2010244131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13144200984 and 13144201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144201027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109815 + ... + 195825.

It is an arithmetic number, because the mean of its divisors is an integer number (427479640).

Almost surely, 2^13144201020 is an apocalyptic number.

13144201020 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 13144201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20519022720).

13144201020 is an abundant number, since it is smaller than the sum of its proper divisors (27893844420).

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

13144201020 is a wasteful number, since it uses less digits than its factorization.

13144201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86312 (or 86304 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13144201020 its reverse (2010244131), we get a palindrome (15154445151).

The spelling of 13144201020 in words is "thirteen billion, one hundred forty-four million, two hundred one thousand, twenty".