13431310352000 has 256 divisors, whose sum is σ = 34046078976000. Its totient is φ = 5268013977600.

The previous prime is 13431310351981. The next prime is 13431310352003. The reversal of 13431310352000 is 25301313431.

It is not an unprimeable number, because it can be changed into a prime (13431310352003) 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, 374750081 + ... + 374785919.

It is an arithmetic number, because the mean of its divisors is an integer number (132992496000).

Almost surely, 2^{13431310352000} is an apocalyptic number.

13431310352000 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 13431310352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023039488000).

13431310352000 is an abundant number, since it is smaller than the sum of its proper divisors (20614768624000).

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

13431310352000 is an equidigital number, since it uses as much as digits as its factorization.

13431310352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36324 (or 36302 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 13431310352000 its reverse (25301313431), we get a palindrome (13456611665431).

The spelling of 13431310352000 in words is "thirteen trillion, four hundred thirty-one billion, three hundred ten million, three hundred fifty-two thousand".