221442122133 has 8 divisors (see below), whose sum is σ = 328062403200. Its totient is φ = 147628081404.

The previous prime is 221442122107. The next prime is 221442122171. The reversal of 221442122133 is 331221244122.

221442122133 is a `hidden beast` number, since 2 + 2 + 1 + 442 + 1 + 2 + 213 + 3 = 666.

It is not a de Polignac number, because 221442122133 - 2¹⁶ = 221442056597 is a prime.

It is a super-2 number, since 2×221442122133² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 8201560079 = 221442122133 / (2 + 2 + 1 + 4 + 4 + 2 + 1 + 2 + 2 + 1 + 3 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 221442122097 and 221442122106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221442122183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4100780013 + ... + 4100780066.

It is an arithmetic number, because the mean of its divisors is an integer number (41007800400).

Almost surely, 2^221442122133 is an apocalyptic number.

It is an amenable number.

221442122133 is a deficient number, since it is larger than the sum of its proper divisors (106620281067).

221442122133 is an equidigital number, since it uses as much as digits as its factorization.

221442122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201560088 (or 8201560082 counting only the distinct ones).

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

Adding to 221442122133 its reverse (331221244122), we get a palindrome (552663366255).

The spelling of 221442122133 in words is "two hundred twenty-one billion, four hundred forty-two million, one hundred twenty-two thousand, one hundred thirty-three".