133121102112 has 144 divisors (see below), whose sum is σ = 391363932960. Its totient is φ = 42894544896.

The previous prime is 133121102083. The next prime is 133121102123. The reversal of 133121102112 is 211201121331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×133121102112³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145839 + ... + 1256657.

It is an arithmetic number, because the mean of its divisors is an integer number (2717805090).

Almost surely, 2^133121102112 is an apocalyptic number.

133121102112 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 133121102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195681966480).

133121102112 is an abundant number, since it is smaller than the sum of its proper divisors (258242830848).

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

133121102112 is a wasteful number, since it uses less digits than its factorization.

133121102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110975 (or 110964 counting only the distinct ones).

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

Adding to 133121102112 its reverse (211201121331), we get a palindrome (344322223443).

The spelling of 133121102112 in words is "one hundred thirty-three billion, one hundred twenty-one million, one hundred two thousand, one hundred twelve".