133113201120 has 384 divisors, whose sum is σ = 478187297280. Its totient is φ = 34565529600.

The previous prime is 133113201103. The next prime is 133113201121. The reversal of 133113201120 is 21102311331.

133113201120 is a `hidden beast` number, since 1 + 3 + 311 + 320 + 11 + 20 = 666.

It is a super-3 number, since 3×133113201120³ (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 a junction number, because it is equal to n+sod(n) for n = 133113201093 and 133113201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113201121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 74488867 + ... + 74490653.

It is an arithmetic number, because the mean of its divisors is an integer number (1245279420).

Almost surely, 2^133113201120 is an apocalyptic number.

133113201120 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 133113201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239093648640).

133113201120 is an abundant number, since it is smaller than the sum of its proper divisors (345074096160).

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

133113201120 is a wasteful number, since it uses less digits than its factorization.

133113201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2241 counting only the distinct ones).

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

Adding to 133113201120 its reverse (21102311331), we get a palindrome (154215512451).

The spelling of 133113201120 in words is "one hundred thirty-three billion, one hundred thirteen million, two hundred one thousand, one hundred twenty".