13431542304000 has 144 divisors (see below), whose sum is σ = 44612868081600. Its totient is φ = 3581744588800.

The previous prime is 13431542303989. The next prime is 13431542304083. The reversal of 13431542304000 is 40324513431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69859950 + ... + 70051949.

It is an arithmetic number, because the mean of its divisors is an integer number (309811583900).

Almost surely, 2^{13431542304000} is an apocalyptic number.

13431542304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13431542304000 is an abundant number, since it is smaller than the sum of its proper divisors (31181325777600).

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

13431542304000 is an equidigital number, since it uses as much as digits as its factorization.

13431542304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139911933 (or 139911909 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13431542304000 its reverse (40324513431), we get a palindrome (13471866817431).

The spelling of 13431542304000 in words is "thirteen trillion, four hundred thirty-one billion, five hundred forty-two million, three hundred four thousand".