11001310112000 has 288 divisors, whose sum is σ = 29540441024640. Its totient is φ = 4058351001600.

The previous prime is 11001310111999. The next prime is 11001310112029. The reversal of 11001310112000 is 21101310011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483796631 + ... + 483819369.

It is an arithmetic number, because the mean of its divisors is an integer number (102570975780).

Almost surely, 2^{11001310112000} is an apocalyptic number.

11001310112000 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 11001310112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14770220512320).

11001310112000 is an abundant number, since it is smaller than the sum of its proper divisors (18539130912640).

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

11001310112000 is a wasteful number, since it uses less digits than its factorization.

11001310112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23946 (or 23922 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11001310112000 its reverse (21101310011), we get a palindrome (11022411422011).

The spelling of 11001310112000 in words is "eleven trillion, one billion, three hundred ten million, one hundred twelve thousand".