133011122112 has 168 divisors, whose sum is σ = 429808386000. Its totient is φ = 40306337280.

The previous prime is 133011122107. The next prime is 133011122137. The reversal of 133011122112 is 211221110331.

133011122112 is a `hidden beast` number, since 1 + 330 + 111 + 221 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108987 + ... + 527162.

It is an arithmetic number, because the mean of its divisors is an integer number (2558383250).

Almost surely, 2^133011122112 is an apocalyptic number.

133011122112 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 133011122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214904193000).

133011122112 is an abundant number, since it is smaller than the sum of its proper divisors (296797263888).

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

133011122112 is a wasteful number, since it uses less digits than its factorization.

133011122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636192 (or 636165 counting only the distinct ones).

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

Adding to 133011122112 its reverse (211221110331), we get a palindrome (344232232443).

The spelling of 133011122112 in words is "one hundred thirty-three billion, eleven million, one hundred twenty-two thousand, one hundred twelve".