13131420441440 has 192 divisors, whose sum is σ = 36134060497920. Its totient is φ = 4416281917440.

The previous prime is 13131420441437. The next prime is 13131420441449. The reversal of 13131420441440 is 4414402413131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13131420441397 and 13131420441406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131420441449) 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 31 ways as a sum of consecutive naturals, for example, 30247349 + ... + 30678411.

It is an arithmetic number, because the mean of its divisors is an integer number (188198231760).

Almost surely, 2^{13131420441440} is an apocalyptic number.

13131420441440 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 13131420441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18067030248960).

13131420441440 is an abundant number, since it is smaller than the sum of its proper divisors (23002640056480).

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

13131420441440 is a wasteful number, since it uses less digits than its factorization.

13131420441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431605 (or 431597 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 13131420441440 its reverse (4414402413131), we get a palindrome (17545822854571).

The spelling of 13131420441440 in words is "thirteen trillion, one hundred thirty-one billion, four hundred twenty million, four hundred forty-one thousand, four hundred forty".