213122311 has 2 divisors, whose sum is σ = 213122312. Its totient is φ = 213122310.

The previous prime is 213122309. The next prime is 213122317. The reversal of 213122311 is 113221312.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 213122311 - 2¹ = 213122309 is a prime.

It is a super-2 number, since 2×213122311² = 90842238891961442, which contains 22 as substring.

Together with 213122309, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213122317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561155 + 106561156.

It is an arithmetic number, because the mean of its divisors is an integer number (106561156).

Almost surely, 2^213122311 is an apocalyptic number.

213122311 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122311 is an equidigital number, since it uses as much as digits as its factorization.

213122311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 16.

The square root of 213122311 is about 14598.7092237636. The cubic root of 213122311 is about 597.3235519434.

Adding to 213122311 its reverse (113221312), we get a palindrome (326343623).

Subtracting from 213122311 its reverse (113221312), we obtain a palindrome (99900999).

It can be divided in two parts, 2131 and 22311, that added together give a palindrome (24442).

The spelling of 213122311 in words is "two hundred thirteen million, one hundred twenty-two thousand, three hundred eleven".