133112122110 has 384 divisors, whose sum is σ = 418727522304. Its totient is φ = 28940820480.

The previous prime is 133112122079. The next prime is 133112122111. The reversal of 133112122110 is 11221211331.

133112122110 is a `hidden beast` number, since 1 + 331 + 121 + 2 + 211 + 0 = 666.

133112122110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133112122111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142061562 + ... + 142062498.

It is an arithmetic number, because the mean of its divisors is an integer number (1090436256).

Almost surely, 2^133112122110 is an apocalyptic number.

133112122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133112122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209363761152).

133112122110 is an abundant number, since it is smaller than the sum of its proper divisors (285615400194).

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

133112122110 is a wasteful number, since it uses less digits than its factorization.

133112122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 133112122110 its reverse (11221211331), we get a palindrome (144333333441).

The spelling of 133112122110 in words is "one hundred thirty-three billion, one hundred twelve million, one hundred twenty-two thousand, one hundred ten".