213122311311 has 16 divisors (see below), whose sum is σ = 349739177984. Its totient is φ = 112416164064.

The previous prime is 213122311253. The next prime is 213122311313. The reversal of 213122311311 is 113113221312.

213122311311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213122311311 - 2⁶ = 213122311247 is a prime.

It is a super-2 number, since 2×213122311311² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213122311313) 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 15 ways as a sum of consecutive naturals, for example, 390333631 + ... + 390334176.

It is an arithmetic number, because the mean of its divisors is an integer number (21858698624).

Almost surely, 2^213122311311 is an apocalyptic number.

213122311311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213122311311 is a deficient number, since it is larger than the sum of its proper divisors (136616866673).

213122311311 is a wasteful number, since it uses less digits than its factorization.

213122311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780667830.

The product of its digits is 216, while the sum is 21.

Adding to 213122311311 its reverse (113113221312), we get a palindrome (326235532623).

The spelling of 213122311311 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred eleven thousand, three hundred eleven".