13201001440 has 48 divisors (see below), whose sum is σ = 34022585520. Its totient is φ = 4800363520.

The previous prime is 13201001417. The next prime is 13201001441. The reversal of 13201001440 is 4410010231.

13201001440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201001441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3748525 + ... + 3752044.

It is an arithmetic number, because the mean of its divisors is an integer number (708803865).

Almost surely, 2^13201001440 is an apocalyptic number.

13201001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201001440 is an abundant number, since it is smaller than the sum of its proper divisors (20821584080).

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

13201001440 is a wasteful number, since it uses less digits than its factorization.

13201001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500595 (or 7500587 counting only the distinct ones).

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

Adding to 13201001440 its reverse (4410010231), we get a palindrome (17611011671).

The spelling of 13201001440 in words is "thirteen billion, two hundred one million, one thousand, four hundred forty".