221011312311 has 6 divisors (see below), whose sum is σ = 319238562240. Its totient is φ = 147340874868.

The previous prime is 221011312253. The next prime is 221011312337. The reversal of 221011312311 is 113213110122.

221011312311 is a `hidden beast` number, since 22 + 10 + 11 + 312 + 311 = 666.

It is not a de Polignac number, because 221011312311 - 2¹⁵ = 221011279543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011312211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12278406231 + ... + 12278406248.

It is an arithmetic number, because the mean of its divisors is an integer number (53206427040).

Almost surely, 2^221011312311 is an apocalyptic number.

221011312311 is a deficient number, since it is larger than the sum of its proper divisors (98227249929).

221011312311 is a wasteful number, since it uses less digits than its factorization.

221011312311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24556812485 (or 24556812482 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 221011312311 its reverse (113213110122), we get a palindrome (334224422433).

The spelling of 221011312311 in words is "two hundred twenty-one billion, eleven million, three hundred twelve thousand, three hundred eleven".