221334042033 has 96 divisors (see below), whose sum is σ = 365339520000. Its totient is φ = 128001202560.

The previous prime is 221334042001. The next prime is 221334042047. The reversal of 221334042033 is 330240433122.

221334042033 is a `hidden beast` number, since 2 + 21 + 33 + 404 + 203 + 3 = 666.

It is not a de Polignac number, because 221334042033 - 2⁵ = 221334042001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221334041988 and 221334042006.

It is not an unprimeable number, because it can be changed into a prime (221334032033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217206598 + ... + 217207616.

It is an arithmetic number, because the mean of its divisors is an integer number (3805620000).

Almost surely, 2^221334042033 is an apocalyptic number.

It is an amenable number.

221334042033 is a deficient number, since it is larger than the sum of its proper divisors (144005477967).

221334042033 is a wasteful number, since it uses less digits than its factorization.

221334042033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 221334042033 its reverse (330240433122), we get a palindrome (551574475155).

The spelling of 221334042033 in words is "two hundred twenty-one billion, three hundred thirty-four million, forty-two thousand, thirty-three".