13101440 has 64 divisors (see below), whose sum is σ = 34186320. Its totient is φ = 4761600.

The previous prime is 13101433. The next prime is 13101443. The reversal of 13101440 is 4410131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101443) by changing a digit.

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, 6110 + ... + 7970.

Almost surely, 2^13101440 is an apocalyptic number.

13101440 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 13101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093160).

13101440 is an abundant number, since it is smaller than the sum of its proper divisors (21084880).

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

13101440 is a wasteful number, since it uses less digits than its factorization.

13101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 13101440 is about 3619.5911371314. The cubic root of 13101440 is about 235.7434730572.

Adding to 13101440 its reverse (4410131), we get a palindrome (17511571).

The spelling of 13101440 in words is "thirteen million, one hundred one thousand, four hundred forty".