133331100 has 144 divisors (see below), whose sum is σ = 444638208. Its totient is φ = 30216960.

The previous prime is 133331083. The next prime is 133331129. The reversal of 133331100 is 1133331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363117 + ... + 363483.

Almost surely, 2^133331100 is an apocalyptic number.

133331100 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 133331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222319104).

133331100 is an abundant number, since it is smaller than the sum of its proper divisors (311307108).

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

133331100 is a wasteful number, since it uses less digits than its factorization.

133331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 133331100 is about 11546.9086772175. The cubic root of 133331100 is about 510.8701025391.

Adding to 133331100 its reverse (1133331), we get a palindrome (134464431).

The spelling of 133331100 in words is "one hundred thirty-three million, three hundred thirty-one thousand, one hundred".