13320132012000 has 288 divisors, whose sum is σ = 51570708999264. Its totient is φ = 3229122816000.

The previous prime is 13320132011999. The next prime is 13320132012053. The reversal of 13320132012000 is 21023102331.

13320132012000 is a `hidden beast` number, since 1 + 3 + 320 + 1 + 320 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16422349 + ... + 17214348.

It is an arithmetic number, because the mean of its divisors is an integer number (179064961803).

Almost surely, 2^{13320132012000} is an apocalyptic number.

13320132012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320132012000 is an abundant number, since it is smaller than the sum of its proper divisors (38250576987264).

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

13320132012000 is a wasteful number, since it uses less digits than its factorization.

13320132012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33636739 (or 33636718 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13320132012000 its reverse (21023102331), we get a palindrome (13341155114331).

The spelling of 13320132012000 in words is "thirteen trillion, three hundred twenty billion, one hundred thirty-two million, twelve thousand".