13431314342304 has 216 divisors, whose sum is σ = 39897400888800. Its totient is φ = 4444845674112.

The previous prime is 13431314342297. The next prime is 13431314342359. The reversal of 13431314342304 is 40324341313431.

13431314342304 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 1 + 3 + 1 + 4 + 342 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×13431314342304² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 150195397 + ... + 150284795.

It is an arithmetic number, because the mean of its divisors is an integer number (184710189300).

Almost surely, 2^{13431314342304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13431314342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948700444400).

13431314342304 is an abundant number, since it is smaller than the sum of its proper divisors (26466086546496).

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

13431314342304 is an frugal number, since it uses more digits than its factorization.

13431314342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89702 (or 89543 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 13431314342304 its reverse (40324341313431), we get a palindrome (53755655655735).

The spelling of 13431314342304 in words is "thirteen trillion, four hundred thirty-one billion, three hundred fourteen million, three hundred forty-two thousand, three hundred four".