13301242240 has 512 divisors, whose sum is σ = 39974860800. Its totient is φ = 4163174400.

The previous prime is 13301242231. The next prime is 13301242243. The reversal of 13301242240 is 4224210331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301242243) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 149452116 + ... + 149452204.

It is an arithmetic number, because the mean of its divisors is an integer number (78075900).

Almost surely, 2^13301242240 is an apocalyptic number.

13301242240 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 13301242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987430400).

13301242240 is an abundant number, since it is smaller than the sum of its proper divisors (26673618560).

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

13301242240 is a wasteful number, since it uses less digits than its factorization.

13301242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13301242240 its reverse (4224210331), we get a palindrome (17525452571).

The spelling of 13301242240 in words is "thirteen billion, three hundred one million, two hundred forty-two thousand, two hundred forty".