13321320012000 has 4608 divisors, whose sum is σ = 66504461377536. Its totient is φ = 2436562944000.

The previous prime is 13321320011999. The next prime is 13321320012047. The reversal of 13321320012000 is 21002312331.

13321320012000 is a `hidden beast` number, since 1 + 3 + 321 + 320 + 0 + 1 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×13321320012000² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 129333203949 + ... + 129333204051.

It is an arithmetic number, because the mean of its divisors is an integer number (14432391792).

Almost surely, 2^{13321320012000} is an apocalyptic number.

13321320012000 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 13321320012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33252230688768).

13321320012000 is an abundant number, since it is smaller than the sum of its proper divisors (53183141365536).

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

13321320012000 is a wasteful number, since it uses less digits than its factorization.

13321320012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 278 counting only the distinct ones).

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

Adding to 13321320012000 its reverse (21002312331), we get a palindrome (13342322324331).

The spelling of 13321320012000 in words is "thirteen trillion, three hundred twenty-one billion, three hundred twenty million, twelve thousand".