13101232144 has 160 divisors (see below), whose sum is σ = 34227809280. Its totient is φ = 4691520000.

The previous prime is 13101232129. The next prime is 13101232163. The reversal of 13101232144 is 44123210131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4018387 + ... + 4021645.

It is an arithmetic number, because the mean of its divisors is an integer number (213923808).

Almost surely, 2^13101232144 is an apocalyptic number.

13101232144 is a gapful number since it is divisible by the number (14) 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 13101232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113904640).

13101232144 is an abundant number, since it is smaller than the sum of its proper divisors (21126577136).

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

13101232144 is a wasteful number, since it uses less digits than its factorization.

13101232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13101232144 its reverse (44123210131), we get a palindrome (57224442275).

The spelling of 13101232144 in words is "thirteen billion, one hundred one million, two hundred thirty-two thousand, one hundred forty-four".