133310221121 has 64 divisors (see below), whose sum is σ = 180168468480. Its totient is φ = 95465088000.

The previous prime is 133310221091. The next prime is 133310221129. The reversal of 133310221121 is 121122013331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 133310221121 - 2¹⁴ = 133310204737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133310221093 and 133310221102.

It is not an unprimeable number, because it can be changed into a prime (133310221129) 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 63 ways as a sum of consecutive naturals, for example, 11093006 + ... + 11105016.

It is an arithmetic number, because the mean of its divisors is an integer number (2815132320).

Almost surely, 2^133310221121 is an apocalyptic number.

133310221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133310221121 is a deficient number, since it is larger than the sum of its proper divisors (46858247359).

133310221121 is a wasteful number, since it uses less digits than its factorization.

133310221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 133310221121 its reverse (121122013331), we get a palindrome (254432234452).

The spelling of 133310221121 in words is "one hundred thirty-three billion, three hundred ten million, two hundred twenty-one thousand, one hundred twenty-one".