133220221121211 has 256 divisors, whose sum is σ = 218660874485760. Its totient is φ = 70554047984640.

The previous prime is 133220221121153. The next prime is 133220221121237. The reversal of 133220221121211 is 112121122022331.

It is not a de Polignac number, because 133220221121211 - 2¹⁴ = 133220221104827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133220221121311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 264851333986 + ... + 264851334488.

It is an arithmetic number, because the mean of its divisors is an integer number (854144040960).

Almost surely, 2^{133220221121211} is an apocalyptic number.

133220221121211 is a deficient number, since it is larger than the sum of its proper divisors (85440653364549).

133220221121211 is a wasteful number, since it uses less digits than its factorization.

133220221121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 133220221121211 its reverse (112121122022331), we get a palindrome (245341343143542).

The spelling of 133220221121211 in words is "one hundred thirty-three trillion, two hundred twenty billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred eleven".