221434310133 has 12 divisors (see below), whose sum is σ = 319949025708. Its totient is φ = 147576965760.

The previous prime is 221434310099. The next prime is 221434310249. The reversal of 221434310133 is 331013434122.

It is a happy number.

221434310133 is a `hidden beast` number, since 2 + 214 + 3 + 4 + 310 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149557772529 + 71876537604 = 386727^2 + 268098^2 .

It is not a de Polignac number, because 221434310133 - 2¹⁶ = 221434244597 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221434310097 and 221434310106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221434314133) 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, 3795078 + ... + 3852983.

It is an arithmetic number, because the mean of its divisors is an integer number (26662418809).

Almost surely, 2^221434310133 is an apocalyptic number.

It is an amenable number.

221434310133 is a deficient number, since it is larger than the sum of its proper divisors (98514715575).

221434310133 is a wasteful number, since it uses less digits than its factorization.

221434310133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651284 (or 7651281 counting only the distinct ones).

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

Adding to 221434310133 its reverse (331013434122), we get a palindrome (552447744255).

The spelling of 221434310133 in words is "two hundred twenty-one billion, four hundred thirty-four million, three hundred ten thousand, one hundred thirty-three".