211213113301 has 2 divisors, whose sum is σ = 211213113302. Its totient is φ = 211213113300.

The previous prime is 211213113299. The next prime is 211213113313. The reversal of 211213113301 is 103311312112.

211213113301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200122917201 + 11090196100 = 447351^2 + 105310^2 .

It is a cyclic number.

It is not a de Polignac number, because 211213113301 - 2¹ = 211213113299 is a prime.

It is a super-2 number, since 2×211213113301² (a number of 23 digits) contains 22 as substring.

Together with 211213113299, 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 (211213113341) 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 as a sum of consecutive naturals, namely, 105606556650 + 105606556651.

It is an arithmetic number, because the mean of its divisors is an integer number (105606556651).

Almost surely, 2^211213113301 is an apocalyptic number.

It is an amenable number.

211213113301 is a deficient number, since it is larger than the sum of its proper divisors (1).

211213113301 is an equidigital number, since it uses as much as digits as its factorization.

211213113301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 211213113301 its reverse (103311312112), we get a palindrome (314524425413).

The spelling of 211213113301 in words is "two hundred eleven billion, two hundred thirteen million, one hundred thirteen thousand, three hundred one".