13201011324000 has 288 divisors, whose sum is σ = 47130951905856. Its totient is φ = 3499188633600.

The previous prime is 13201011323993. The next prime is 13201011324019. The reversal of 13201011324000 is 42311010231.

13201011324000 is a `hidden beast` number, since 1 + 32 + 0 + 101 + 132 + 400 + 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4914112 + ... + 7109888.

It is an arithmetic number, because the mean of its divisors is an integer number (163649138562).

Almost surely, 2^{13201011324000} is an apocalyptic number.

13201011324000 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 13201011324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23565475952928).

13201011324000 is an abundant number, since it is smaller than the sum of its proper divisors (33929940581856).

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

13201011324000 is a wasteful number, since it uses less digits than its factorization.

13201011324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195975 (or 2195954 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13201011324000 its reverse (42311010231), we get a palindrome (13243322334231).

The spelling of 13201011324000 in words is "thirteen trillion, two hundred one billion, eleven million, three hundred twenty-four thousand".