13233133032000 has 448 divisors, whose sum is σ = 50499222059520. Its totient is φ = 2990727168000.

The previous prime is 13233133031999. The next prime is 13233133032037. The reversal of 13233133032000 is 23033133231.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14509480 + ... + 15394520.

Almost surely, 2^{13233133032000} is an apocalyptic number.

13233133032000 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 13233133032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25249611029760).

13233133032000 is an abundant number, since it is smaller than the sum of its proper divisors (37266089027520).

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

13233133032000 is an equidigital number, since it uses as much as digits as its factorization.

13233133032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885167 (or 885147 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13233133032000 its reverse (23033133231), we get a palindrome (13256166165231).

The spelling of 13233133032000 in words is "thirteen trillion, two hundred thirty-three billion, one hundred thirty-three million, thirty-two thousand".