11211300311211 has 192 divisors, whose sum is σ = 21979787182080. Its totient is φ = 5317655857920.

The previous prime is 11211300311161. The next prime is 11211300311257.

11211300311211 is a `hidden beast` number, since 1 + 1 + 211 + 300 + 31 + 121 + 1 = 666.

11211300311211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11211300311211 - 2¹⁴ = 11211300294827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11211300311611) 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 191 ways as a sum of consecutive naturals, for example, 852758340 + ... + 852771486.

It is an arithmetic number, because the mean of its divisors is an integer number (114478058240).

Almost surely, 2^{11211300311211} is an apocalyptic number.

11211300311211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11211300311211 is a deficient number, since it is larger than the sum of its proper divisors (10768486870869).

11211300311211 is a wasteful number, since it uses less digits than its factorization.

11211300311211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14206 (or 14203 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 11211300 and 311211, that added together give a palindrome (11522511).

The spelling of 11211300311211 in words is "eleven trillion, two hundred eleven billion, three hundred million, three hundred eleven thousand, two hundred eleven".