133201003221 has 48 divisors (see below), whose sum is σ = 229134639552. Its totient is φ = 73497196800.

The previous prime is 133201003217. The next prime is 133201003279. The reversal of 133201003221 is 122300102331.

133201003221 is a `hidden beast` number, since 1 + 332 + 0 + 10 + 0 + 322 + 1 = 666.

It is not a de Polignac number, because 133201003221 - 2² = 133201003217 is a prime.

It is a super-3 number, since 3×133201003221³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133201003194 and 133201003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133201003291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614935 + ... + 802836.

It is an arithmetic number, because the mean of its divisors is an integer number (4773638324).

Almost surely, 2^133201003221 is an apocalyptic number.

133201003221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133201003221 is a deficient number, since it is larger than the sum of its proper divisors (95933636331).

133201003221 is a wasteful number, since it uses less digits than its factorization.

133201003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417874 (or 1417871 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133201003221 its reverse (122300102331), we get a palindrome (255501105552).

The spelling of 133201003221 in words is "one hundred thirty-three billion, two hundred one million, three thousand, two hundred twenty-one".