13120141241440 has 48 divisors (see below), whose sum is σ = 30996584055360. Its totient is φ = 5248014105600.

The previous prime is 13120141241381. The next prime is 13120141241477. The reversal of 13120141241440 is 4414214102131.

It is a happy number.

It is a super-3 number, since 3×13120141241440³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13120141241399 and 13120141241408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26120665 + ... + 26618215.

It is an arithmetic number, because the mean of its divisors is an integer number (645762167820).

Almost surely, 2^{13120141241440} is an apocalyptic number.

13120141241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120141241440 is an abundant number, since it is smaller than the sum of its proper divisors (17876442813920).

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

13120141241440 is a wasteful number, since it uses less digits than its factorization.

13120141241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662375 (or 662367 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 13120141241440 its reverse (4414214102131), we get a palindrome (17534355343571).

The spelling of 13120141241440 in words is "thirteen trillion, one hundred twenty billion, one hundred forty-one million, two hundred forty-one thousand, four hundred forty".