133221121 has 16 divisors (see below), whose sum is σ = 148133376. Its totient is φ = 119790000.

The previous prime is 133221107. The next prime is 133221149. The reversal of 133221121 is 121122331.

It is not a de Polignac number, because 133221121 - 2⁵ = 133221089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133221095 and 133221104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133222121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133936 + ... + 134926.

It is an arithmetic number, because the mean of its divisors is an integer number (9258336).

Almost surely, 2^133221121 is an apocalyptic number.

133221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133221121 is a deficient number, since it is larger than the sum of its proper divisors (14912255).

133221121 is an equidigital number, since it uses as much as digits as its factorization.

133221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1103 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 133221121 is about 11542.1454244867. The cubic root of 133221121 is about 510.7295990900.

Adding to 133221121 its reverse (121122331), we get a palindrome (254343452).

The spelling of 133221121 in words is "one hundred thirty-three million, two hundred twenty-one thousand, one hundred twenty-one".