133120101122211 has 64 divisors (see below), whose sum is σ = 211044040704000. Its totient is φ = 73026099753600.

The previous prime is 133120101122209. The next prime is 133120101122231. The reversal of 133120101122211 is 112221101021331.

It is not a de Polignac number, because 133120101122211 - 2¹ = 133120101122209 is a prime.

It is a super-2 number, since 2×133120101122211² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (133120101122231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243880966 + ... + 244426196.

It is an arithmetic number, because the mean of its divisors is an integer number (3297563136000).

Almost surely, 2^{133120101122211} is an apocalyptic number.

133120101122211 is a deficient number, since it is larger than the sum of its proper divisors (77923939581789).

133120101122211 is a wasteful number, since it uses less digits than its factorization.

133120101122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547560.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 133120101122211 its reverse (112221101021331), we get a palindrome (245341202143542).

The spelling of 133120101122211 in words is "one hundred thirty-three trillion, one hundred twenty billion, one hundred one million, one hundred twenty-two thousand, two hundred eleven".