133342100 has 36 divisors (see below), whose sum is σ = 291494364. Its totient is φ = 52942080.

The previous prime is 133342093. The next prime is 133342103. The reversal of 133342100 is 1243331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1643524 + 131698576 = 1282^2 + 11476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133342103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8834 + ... + 18566.

Almost surely, 2^133342100 is an apocalyptic number.

133342100 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 133342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145747182).

133342100 is an abundant number, since it is smaller than the sum of its proper divisors (158152264).

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

133342100 is a wasteful number, since it uses less digits than its factorization.

133342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 133342100 is about 11547.3849853549. The cubic root of 133342100 is about 510.8841513159.

Adding to 133342100 its reverse (1243331), we get a palindrome (134585431).

The spelling of 133342100 in words is "one hundred thirty-three million, three hundred forty-two thousand, one hundred".