133020100 has 36 divisors (see below), whose sum is σ = 298613700. Its totient is φ = 51372160.

The previous prime is 133020067. The next prime is 133020119. The reversal of 133020100 is 1020331.

It can be written as a sum of positive squares in 6 ways, for example, as 125316 + 132894784 = 354^2 + 11528^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20035 + ... + 25834.

It is an arithmetic number, because the mean of its divisors is an integer number (8294825).

Almost surely, 2^133020100 is an apocalyptic number.

133020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133020100 is an abundant number, since it is smaller than the sum of its proper divisors (165593600).

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

133020100 is a wasteful number, since it uses less digits than its factorization.

133020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45912 (or 45905 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 133020100 is about 11533.4340072677. The cubic root of 133020100 is about 510.4725851458.

Adding to 133020100 its reverse (1020331), we get a palindrome (134040431).

The spelling of 133020100 in words is "one hundred thirty-three million, twenty thousand, one hundred".