13215253541120 has 144 divisors (see below), whose sum is σ = 33520034459520. Its totient is φ = 4974659469312.

The previous prime is 13215253541071. The next prime is 13215253541129. The reversal of 13215253541120 is 2114535251231.

It is not an unprimeable number, because it can be changed into a prime (13215253541129) 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 15 ways as a sum of consecutive naturals, for example, 277263851 + ... + 277311509.

It is an arithmetic number, because the mean of its divisors is an integer number (232778017080).

Almost surely, 2^{13215253541120} is an apocalyptic number.

13215253541120 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 13215253541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760017229760).

13215253541120 is an abundant number, since it is smaller than the sum of its proper divisors (20304780918400).

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

13215253541120 is a wasteful number, since it uses less digits than its factorization.

13215253541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60440 (or 60426 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 13215253541120 its reverse (2114535251231), we get a palindrome (15329788792351).

The spelling of 13215253541120 in words is "thirteen trillion, two hundred fifteen billion, two hundred fifty-three million, five hundred forty-one thousand, one hundred twenty".