21444122133 has 48 divisors (see below), whose sum is σ = 39454945920. Its totient is φ = 10925964288.

The previous prime is 21444122131. The next prime is 21444122149. The reversal of 21444122133 is 33122144412.

21444122133 is a `hidden beast` number, since 2 + 1 + 4 + 441 + 2 + 213 + 3 = 666.

It is not a de Polignac number, because 21444122133 - 2¹ = 21444122131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21444122097 and 21444122106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444122131) 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 47 ways as a sum of consecutive naturals, for example, 506560 + ... + 547257.

It is an arithmetic number, because the mean of its divisors is an integer number (821978040).

Almost surely, 2^21444122133 is an apocalyptic number.

It is an amenable number.

21444122133 is a deficient number, since it is larger than the sum of its proper divisors (18010823787).

21444122133 is a wasteful number, since it uses less digits than its factorization.

21444122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053866 (or 1053863 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21444122133 its reverse (33122144412), we get a palindrome (54566266545).

The spelling of 21444122133 in words is "twenty-one billion, four hundred forty-four million, one hundred twenty-two thousand, one hundred thirty-three".