211316311353 has 128 divisors (see below), whose sum is σ = 353241907200. Its totient is φ = 109720461312.

The previous prime is 211316311313. The next prime is 211316311361. The reversal of 211316311353 is 353113613112.

211316311353 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 211316311353 - 2¹⁰ = 211316310329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211316311353.

It is not an unprimeable number, because it can be changed into a prime (211316311313) 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 127 ways as a sum of consecutive naturals, for example, 420111700 + ... + 420112202.

It is an arithmetic number, because the mean of its divisors is an integer number (2759702400).

Almost surely, 2^211316311353 is an apocalyptic number.

211316311353 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211316311353 is a deficient number, since it is larger than the sum of its proper divisors (141925595847).

211316311353 is a wasteful number, since it uses less digits than its factorization.

211316311353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991.

The product of its digits is 4860, while the sum is 30.

Adding to 211316311353 its reverse (353113613112), we get a palindrome (564429924465).

The spelling of 211316311353 in words is "two hundred eleven billion, three hundred sixteen million, three hundred eleven thousand, three hundred fifty-three".