202130133300 has 108 divisors (see below), whose sum is σ = 645519895020. Its totient is φ = 52884349440.

The previous prime is 202130133269. The next prime is 202130133307. The reversal of 202130133300 is 3331031202.

202130133300 is a `hidden beast` number, since 20 + 213 + 0 + 133 + 300 = 666.

202130133300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2004531984 + 200125601316 = 44772^2 + 447354^2 .

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 (202130133307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2071065 + ... + 2166464.

It is an arithmetic number, because the mean of its divisors is an integer number (5977036065).

Almost surely, 2^202130133300 is an apocalyptic number.

202130133300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202130133300 is an abundant number, since it is smaller than the sum of its proper divisors (443389761720).

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

202130133300 is a wasteful number, since it uses less digits than its factorization.

202130133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237602 (or 4237592 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 202130133300 its reverse (3331031202), we get a palindrome (205461164502).

The spelling of 202130133300 in words is "two hundred two billion, one hundred thirty million, one hundred thirty-three thousand, three hundred".