13102144 has 56 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 5783040.

The previous prime is 13102139. The next prime is 13102151. The reversal of 13102144 is 44120131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25797 + ... + 26299.

It is an arithmetic number, because the mean of its divisors is an integer number (521208).

Almost surely, 2^13102144 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 13102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

13102144 is an abundant number, since it is smaller than the sum of its proper divisors (16085504).

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

13102144 is a wasteful number, since it uses less digits than its factorization.

13102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 13102144 is about 3619.6883843779. The cubic root of 13102144 is about 235.7476955048.

Adding to 13102144 its reverse (44120131), we get a palindrome (57222275).

The spelling of 13102144 in words is "thirteen million, one hundred two thousand, one hundred forty-four".