13430032000000 has 924 divisors, whose sum is σ = 42198364854016. Its totient is φ = 4181760000000.

The previous prime is 13430031999959. The next prime is 13430032000031. The reversal of 13430032000000 is 23003431.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13551999505 + ... + 13552000495.

Almost surely, 2^{13430032000000} is an apocalyptic number.

13430032000000 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 13430032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21099182427008).

13430032000000 is an abundant number, since it is smaller than the sum of its proper divisors (28768332854016).

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

13430032000000 is an frugal number, since it uses more digits than its factorization.

13430032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13430032000000 its reverse (23003431), we get a palindrome (13430055003431).

The spelling of 13430032000000 in words is "thirteen trillion, four hundred thirty billion, thirty-two million", and thus it is an aban number.