133305000021 has 48 divisors (see below), whose sum is σ = 208441658880. Its totient is φ = 85036469760.

The previous prime is 133304999957. The next prime is 133305000067. The reversal of 133305000021 is 120000503331.

133305000021 is a `hidden beast` number, since 133 + 30 + 500 + 0 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 133305000021 - 2⁶ = 133304999957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133304999958 and 133305000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133305000091) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 571021 + ... + 769853.

It is an arithmetic number, because the mean of its divisors is an integer number (4342534560).

Almost surely, 2^133305000021 is an apocalyptic number.

It is an amenable number.

133305000021 is a deficient number, since it is larger than the sum of its proper divisors (75136658859).

133305000021 is an equidigital number, since it uses as much as digits as its factorization.

133305000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198968 (or 198956 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 133305000021 its reverse (120000503331), we get a palindrome (253305503352).

The spelling of 133305000021 in words is "one hundred thirty-three billion, three hundred five million, twenty-one", and thus it is an aban number.