110133112001 has 32 divisors (see below), whose sum is σ = 134091417600. Its totient is φ = 89149697280.

The previous prime is 110133111973. The next prime is 110133112013. The reversal of 110133112001 is 100211331011.

It is a happy number.

It is not a de Polignac number, because 110133112001 - 2²⁶ = 110066003137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110133112081) 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, 2619020 + ... + 2660738.

It is an arithmetic number, because the mean of its divisors is an integer number (4190356800).

Almost surely, 2^110133112001 is an apocalyptic number.

110133112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110133112001 is a deficient number, since it is larger than the sum of its proper divisors (23958305599).

110133112001 is a wasteful number, since it uses less digits than its factorization.

110133112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42509.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 110133112001 its reverse (100211331011), we get a palindrome (210344443012).

The spelling of 110133112001 in words is "one hundred ten billion, one hundred thirty-three million, one hundred twelve thousand, one".