110133030000000 has 1024 divisors, whose sum is σ = 419346426470400. Its totient is φ = 25087104000000.

The previous prime is 110133029999981. The next prime is 110133030000029. The reversal of 110133030000000 is 30331011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77069999286 + ... + 77070000714.

It is an arithmetic number, because the mean of its divisors is an integer number (409517994600).

Almost surely, 2^{110133030000000} is an apocalyptic number.

110133030000000 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 110133030000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209673213235200).

110133030000000 is an abundant number, since it is smaller than the sum of its proper divisors (309213396470400).

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

110133030000000 is an frugal number, since it uses more digits than its factorization.

110133030000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 110133030000000 its reverse (30331011), we get a palindrome (110133060331011).

The spelling of 110133030000000 in words is "one hundred ten trillion, one hundred thirty-three billion, thirty million", and thus it is an aban number.