110133312 has 84 divisors (see below), whose sum is σ = 300197520. Its totient is φ = 35633664.

The previous prime is 110133263. The next prime is 110133313. The reversal of 110133312 is 213331011.

It is a junction number, because it is equal to n+sod(n) for n = 110133291 and 110133300.

It is not an unprimeable number, because it can be changed into a prime (110133313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262639 + ... + 263057.

It is an arithmetic number, because the mean of its divisors is an integer number (3573780).

Almost surely, 2^110133312 is an apocalyptic number.

110133312 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 110133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150098760).

110133312 is an abundant number, since it is smaller than the sum of its proper divisors (190064208).

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

110133312 is an equidigital number, since it uses as much as digits as its factorization.

110133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 461 counting only the distinct ones).

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

The square root of 110133312 is about 10494.4419575316. The cubic root of 110133312 is about 479.3354693113.

Adding to 110133312 its reverse (213331011), we get a palindrome (323464323).

The spelling of 110133312 in words is "one hundred ten million, one hundred thirty-three thousand, three hundred twelve".