133111020 has 192 divisors, whose sum is σ = 457906176. Its totient is φ = 28200960.

The previous prime is 133111019. The next prime is 133111039. The reversal of 133111020 is 20111331.

133111020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 133110987 and 133111005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 735330 + ... + 735510.

It is an arithmetic number, because the mean of its divisors is an integer number (2384928).

Almost surely, 2^133111020 is an apocalyptic number.

133111020 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 133111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228953088).

133111020 is an abundant number, since it is smaller than the sum of its proper divisors (324795156).

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

133111020 is a wasteful number, since it uses less digits than its factorization.

133111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 133111020 is about 11537.3749180652. The cubic root of 133111020 is about 510.5888623027.

Adding to 133111020 its reverse (20111331), we get a palindrome (153222351).

The spelling of 133111020 in words is "one hundred thirty-three million, one hundred eleven thousand, twenty".