133303221 has 36 divisors (see below), whose sum is σ = 205945740. Its totient is φ = 83064960.

The previous prime is 133303217. The next prime is 133303237. The reversal of 133303221 is 122303331.

133303221 is a `hidden beast` number, since 13 + 330 + 322 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33802596 + 99500625 = 5814^2 + 9975^2 .

It is not a de Polignac number, because 133303221 - 2² = 133303217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133303194 and 133303203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288931 + ... + 289391.

It is an arithmetic number, because the mean of its divisors is an integer number (5720715).

Almost surely, 2^133303221 is an apocalyptic number.

It is an amenable number.

133303221 is a deficient number, since it is larger than the sum of its proper divisors (72642519).

133303221 is a wasteful number, since it uses less digits than its factorization.

133303221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133303221 is about 11545.7014078834. The cubic root of 133303221 is about 510.8344930917.

Adding to 133303221 its reverse (122303331), we get a palindrome (255606552).

The spelling of 133303221 in words is "one hundred thirty-three million, three hundred three thousand, two hundred twenty-one".