13321001041000 has 256 divisors, whose sum is σ = 32637029068800. Its totient is φ = 5083094016000.

The previous prime is 13321001040973. The next prime is 13321001041003. The reversal of 13321001041000 is 14010012331.

It is a super-3 number, since 3×13321001041000³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13321001041003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 929775837 + ... + 929790163.

It is an arithmetic number, because the mean of its divisors is an integer number (127488394800).

Almost surely, 2^{13321001041000} is an apocalyptic number.

13321001041000 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 13321001041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16318514534400).

13321001041000 is an abundant number, since it is smaller than the sum of its proper divisors (19316028027800).

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

13321001041000 is a wasteful number, since it uses less digits than its factorization.

13321001041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14805 (or 14791 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13321001041000 its reverse (14010012331), we get a palindrome (13335011053331).

The spelling of 13321001041000 in words is "thirteen trillion, three hundred twenty-one billion, one million, forty-one thousand".