13321340032000 has 704 divisors, whose sum is σ = 44622074165760. Its totient is φ = 3832676352000.

The previous prime is 13321340031931. The next prime is 13321340032037. The reversal of 13321340032000 is 23004312331.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×13321340032000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128076016 + ... + 128179984.

Almost surely, 2^{13321340032000} is an apocalyptic number.

13321340032000 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 13321340032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311037082880).

13321340032000 is an abundant number, since it is smaller than the sum of its proper divisors (31300734133760).

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

13321340032000 is a wasteful number, since it uses less digits than its factorization.

13321340032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104035 (or 104007 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13321340032000 its reverse (23004312331), we get a palindrome (13344344344331).

The spelling of 13321340032000 in words is "thirteen trillion, three hundred twenty-one billion, three hundred forty million, thirty-two thousand".