211400214313 has 8 divisors (see below), whose sum is σ = 212211117632. Its totient is φ = 210589654896.

The previous prime is 211400214307. The next prime is 211400214367. The reversal of 211400214313 is 313412004112.

211400214313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211400214313 - 2²⁹ = 210863343401 is a prime.

It is a super-2 number, since 2×211400214313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211400211313) 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 7 ways as a sum of consecutive naturals, for example, 1181506 + ... + 1348612.

It is an arithmetic number, because the mean of its divisors is an integer number (26526389704).

Almost surely, 2^211400214313 is an apocalyptic number.

It is an amenable number.

211400214313 is a deficient number, since it is larger than the sum of its proper divisors (810903319).

211400214313 is a wasteful number, since it uses less digits than its factorization.

211400214313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171951.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211400214313 its reverse (313412004112), we get a palindrome (524812218425).

The spelling of 211400214313 in words is "two hundred eleven billion, four hundred million, two hundred fourteen thousand, three hundred thirteen".