13101440121120 has 384 divisors, whose sum is σ = 46008495590400. Its totient is φ = 3111608844288.

The previous prime is 13101440121067. The next prime is 13101440121127. The reversal of 13101440121120 is 2112104410131.

It is not an unprimeable number, because it can be changed into a prime (13101440121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269425129 + ... + 269473751.

It is an arithmetic number, because the mean of its divisors is an integer number (119813790600).

Almost surely, 2^{13101440121120} is an apocalyptic number.

13101440121120 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 13101440121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23004247795200).

13101440121120 is an abundant number, since it is smaller than the sum of its proper divisors (32907055469280).

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

13101440121120 is a wasteful number, since it uses less digits than its factorization.

13101440121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50172 (or 50164 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 13101440121120 its reverse (2112104410131), we get a palindrome (15213544531251).

The spelling of 13101440121120 in words is "thirteen trillion, one hundred one billion, four hundred forty million, one hundred twenty-one thousand, one hundred twenty".