211221032313 has 16 divisors (see below), whose sum is σ = 289256062016. Its totient is φ = 137000445120.

The previous prime is 211221032221. The next prime is 211221032339. The reversal of 211221032313 is 313230122112.

211221032313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-211221032313 is a prime.

It is a super-2 number, since 2×211221032313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211221032313.

It is not an unprimeable number, because it can be changed into a prime (211221039313) 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, 2409258 + ... + 2495388.

It is an arithmetic number, because the mean of its divisors is an integer number (18078503876).

Almost surely, 2^211221032313 is an apocalyptic number.

It is an amenable number.

211221032313 is a deficient number, since it is larger than the sum of its proper divisors (78035029703).

211221032313 is a wasteful number, since it uses less digits than its factorization.

211221032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108264.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211221032313 its reverse (313230122112), we get a palindrome (524451154425).

The spelling of 211221032313 in words is "two hundred eleven billion, two hundred twenty-one million, thirty-two thousand, three hundred thirteen".