133213121311211 has 16 divisors (see below), whose sum is σ = 144710217590400. Its totient is φ = 122138192711808.

The previous prime is 133213121311189. The next prime is 133213121311213. The reversal of 133213121311211 is 112113121312331.

It is a cyclic number.

It is not a de Polignac number, because 133213121311211 - 2²² = 133213117116907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133213121311213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240137321 + ... + 240691418.

It is an arithmetic number, because the mean of its divisors is an integer number (9044388599400).

Almost surely, 2^{133213121311211} is an apocalyptic number.

133213121311211 is a deficient number, since it is larger than the sum of its proper divisors (11497096279189).

133213121311211 is a wasteful number, since it uses less digits than its factorization.

133213121311211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480829178.

The product of its digits is 648, while the sum is 26.

Adding to 133213121311211 its reverse (112113121312331), we get a palindrome (245326242623542).

The spelling of 133213121311211 in words is "one hundred thirty-three trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred eleven thousand, two hundred eleven".