13153340121520 has 160 divisors (see below), whose sum is σ = 31700531304000. Its totient is φ = 5071643578368.

The previous prime is 13153340121503. The next prime is 13153340121521. The reversal of 13153340121520 is 2512104335131.

It is a super-2 number, since 2×13153340121520² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13153340121521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171526227 + ... + 171602893.

It is an arithmetic number, because the mean of its divisors is an integer number (198128320650).

Almost surely, 2^{13153340121520} is an apocalyptic number.

13153340121520 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 13153340121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850265652000).

13153340121520 is an abundant number, since it is smaller than the sum of its proper divisors (18547191182480).

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

13153340121520 is a wasteful number, since it uses less digits than its factorization.

13153340121520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77255 (or 77249 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 13153340121520 its reverse (2512104335131), we get a palindrome (15665444456651).

The spelling of 13153340121520 in words is "thirteen trillion, one hundred fifty-three billion, three hundred forty million, one hundred twenty-one thousand, five hundred twenty".