11000133312 has 112 divisors (see below), whose sum is σ = 33368528640. Its totient is φ = 3132859392.

The previous prime is 11000133293. The next prime is 11000133317. The reversal of 11000133312 is 21333100011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 11000133291 and 11000133300.

It is not an unprimeable number, because it can be changed into a prime (11000133317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413139 + ... + 438957.

Almost surely, 2^11000133312 is an apocalyptic number.

11000133312 is a gapful number since it is divisible by the number (12) 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 11000133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684264320).

11000133312 is an abundant number, since it is smaller than the sum of its proper divisors (22368395328).

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

11000133312 is a wasteful number, since it uses less digits than its factorization.

11000133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26158 (or 26148 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11000133312 its reverse (21333100011), we get a palindrome (32333233323).

The spelling of 11000133312 in words is "eleven billion, one hundred thirty-three thousand, three hundred twelve".