133111000 has 64 divisors (see below), whose sum is σ = 339824160. Its totient is φ = 48400000.

The previous prime is 133110997. The next prime is 133111007. The reversal of 133111000 is 111331.

It is a super-3 number, since 3×133111000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133111007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4950 + ... + 17050.

Almost surely, 2^133111000 is an apocalyptic number.

133111000 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 133111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169912080).

133111000 is an abundant number, since it is smaller than the sum of its proper divisors (206713160).

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

133111000 is a wasteful number, since it uses less digits than its factorization.

133111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 133111000 is about 11537.3740513169. The cubic root of 133111000 is about 510.5888367307.

Adding to 133111000 its reverse (111331), we get a palindrome (133222331).

The spelling of 133111000 in words is "one hundred thirty-three million, one hundred eleven thousand".