21201033242133 has 12 divisors (see below), whose sum is σ = 30633378250540. Its totient is φ = 14129562053376.

The previous prime is 21201033242111. The next prime is 21201033242189. The reversal of 21201033242133 is 33124233010212.

21201033242133 is a `hidden beast` number, since 2 + 1 + 20 + 103 + 324 + 213 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9079898544369 + 12121134697764 = 3013287^2 + 3481542^2 .

It is not a de Polignac number, because 21201033242133 - 2⁸ = 21201033241877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21201033242097 and 21201033242106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201033242033) 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, 371645566 + ... + 371702607.

Almost surely, 2^{21201033242133} is an apocalyptic number.

It is an amenable number.

21201033242133 is a deficient number, since it is larger than the sum of its proper divisors (9432345008407).

21201033242133 is a wasteful number, since it uses less digits than its factorization.

21201033242133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743351348 (or 743351345 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21201033242133 its reverse (33124233010212), we get a palindrome (54325266252345).

The spelling of 21201033242133 in words is "twenty-one trillion, two hundred one billion, thirty-three million, two hundred forty-two thousand, one hundred thirty-three".