133111032120 has 192 divisors, whose sum is σ = 473230218240. Its totient is φ = 32181062400.

The previous prime is 133111032079. The next prime is 133111032193. The reversal of 133111032120 is 21230111331.

133111032120 is a `hidden beast` number, since 1 + 3 + 311 + 10 + 321 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133111032093 and 133111032102.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1407525 + ... + 1499115.

It is an arithmetic number, because the mean of its divisors is an integer number (2464740720).

Almost surely, 2^133111032120 is an apocalyptic number.

133111032120 is a gapful number since it is divisible by the number (10) 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 133111032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236615109120).

133111032120 is an abundant number, since it is smaller than the sum of its proper divisors (340119186120).

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

133111032120 is a wasteful number, since it uses less digits than its factorization.

133111032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91986 (or 91979 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133111032120 its reverse (21230111331), we get a palindrome (154341143451).

The spelling of 133111032120 in words is "one hundred thirty-three billion, one hundred eleven million, thirty-two thousand, one hundred twenty".