13001333012000 has 384 divisors, whose sum is σ = 33294238548480. Its totient is φ = 4983605760000.

The previous prime is 13001333011999. The next prime is 13001333012023. The reversal of 13001333012000 is 21033310031.

It is a self number, because there is not a number n which added to its sum of digits gives 13001333012000.

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, 15835971590 + ... + 15835972410.

It is an arithmetic number, because the mean of its divisors is an integer number (86703746220).

Almost surely, 2^{13001333012000} is an apocalyptic number.

13001333012000 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 13001333012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16647119274240).

13001333012000 is an abundant number, since it is smaller than the sum of its proper divisors (20292905536480).

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

13001333012000 is a wasteful number, since it uses less digits than its factorization.

13001333012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13001333012000 its reverse (21033310031), we get a palindrome (13022366322031).

The spelling of 13001333012000 in words is "thirteen trillion, one billion, three hundred thirty-three million, twelve thousand".