13001133211000 has 256 divisors, whose sum is σ = 34943978534400. Its totient is φ = 4477721472000.

The previous prime is 13001133210973. The next prime is 13001133211007. The reversal of 13001133211000 is 11233110031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001133211007) 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, 1550148807 + ... + 1550157193.

It is an arithmetic number, because the mean of its divisors is an integer number (136499916150).

Almost surely, 2^{13001133211000} is an apocalyptic number.

13001133211000 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 13001133211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17471989267200).

13001133211000 is an abundant number, since it is smaller than the sum of its proper divisors (21942845323400).

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

13001133211000 is a wasteful number, since it uses less digits than its factorization.

13001133211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15855 (or 15841 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13001133211000 its reverse (11233110031), we get a palindrome (13012366321031).

The spelling of 13001133211000 in words is "thirteen trillion, one billion, one hundred thirty-three million, two hundred eleven thousand".