201111130000000 has 256 divisors, whose sum is σ = 546341281050240. Its totient is φ = 73131280000000.

The previous prime is 201111129999961. The next prime is 201111130000007. The reversal of 201111130000000 is 31111102.

201111130000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201111130000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109085859 + ... + 110914141.

Almost surely, 2^{201111130000000} is an apocalyptic number.

201111130000000 is a gapful number since it is divisible by the number (20) 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 201111130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273170640525120).

201111130000000 is an abundant number, since it is smaller than the sum of its proper divisors (345230151050240).

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

201111130000000 is an frugal number, since it uses more digits than its factorization.

201111130000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828343 (or 1828301 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 201111130000000 its reverse (31111102), we get a palindrome (201111161111102).

The spelling of 201111130000000 in words is "two hundred one trillion, one hundred eleven billion, one hundred thirty million", and thus it is an aban number.