13431322041144 has 256 divisors, whose sum is σ = 42192064512000. Its totient is φ = 3474111928320.

The previous prime is 13431322041143. The next prime is 13431322041149. The reversal of 13431322041144 is 44114022313431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431322041143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76191184 + ... + 76367264.

It is an arithmetic number, because the mean of its divisors is an integer number (164812752000).

Almost surely, 2^{13431322041144} is an apocalyptic number.

13431322041144 is a gapful number since it is divisible by the number (14) 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 13431322041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21096032256000).

13431322041144 is an abundant number, since it is smaller than the sum of its proper divisors (28760742470856).

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

13431322041144 is a wasteful number, since it uses less digits than its factorization.

13431322041144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177178 (or 177174 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13431322041144 its reverse (44114022313431), we get a palindrome (57545344354575).

The spelling of 13431322041144 in words is "thirteen trillion, four hundred thirty-one billion, three hundred twenty-two million, forty-one thousand, one hundred forty-four".