133811100 has 108 divisors (see below), whose sum is σ = 422540664. Its totient is φ = 35418240.

The previous prime is 133811099. The next prime is 133811107. The reversal of 133811100 is 1118331.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133811107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140827 + ... + 141773.

Almost surely, 2^133811100 is an apocalyptic number.

133811100 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 133811100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211270332).

133811100 is an abundant number, since it is smaller than the sum of its proper divisors (288729564).

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

133811100 is a wasteful number, since it uses less digits than its factorization.

133811100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1114 counting only the distinct ones).

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

The square root of 133811100 is about 11567.6747879598. The cubic root of 133811100 is about 511.4824227211.

Adding to 133811100 its reverse (1118331), we get a palindrome (134929431).

The spelling of 133811100 in words is "one hundred thirty-three million, eight hundred eleven thousand, one hundred".