110132133000 has 128 divisors (see below), whose sum is σ = 344154320640. Its totient is φ = 29322240000.

The previous prime is 110132132989. The next prime is 110132133029. The reversal of 110132133000 is 331231011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1894365 + ... + 1951635.

It is an arithmetic number, because the mean of its divisors is an integer number (2688705630).

Almost surely, 2^110132133000 is an apocalyptic number.

110132133000 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 110132133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172077160320).

110132133000 is an abundant number, since it is smaller than the sum of its proper divisors (234022187640).

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

110132133000 is a wasteful number, since it uses less digits than its factorization.

110132133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57936 (or 57922 counting only the distinct ones).

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

Adding to 110132133000 its reverse (331231011), we get a palindrome (110463364011).

The spelling of 110132133000 in words is "one hundred ten billion, one hundred thirty-two million, one hundred thirty-three thousand".