110131120032 has 96 divisors (see below), whose sum is σ = 292050380160. Its totient is φ = 36335692800.

The previous prime is 110131120031. The next prime is 110131120037. The reversal of 110131120032 is 230021131011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 110131119993 and 110131120020.

It is not an unprimeable number, because it can be changed into a prime (110131120031) 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, 11118282 + ... + 11128182.

It is an arithmetic number, because the mean of its divisors is an integer number (3042191460).

Almost surely, 2^110131120032 is an apocalyptic number.

110131120032 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 110131120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146025190080).

110131120032 is an abundant number, since it is smaller than the sum of its proper divisors (181919260128).

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

110131120032 is a wasteful number, since it uses less digits than its factorization.

110131120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11086 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 110131120032 its reverse (230021131011), we get a palindrome (340152251043).

The spelling of 110131120032 in words is "one hundred ten billion, one hundred thirty-one million, one hundred twenty thousand, thirty-two".