211221323122113 has 12 divisors (see below), whose sum is σ = 305396288945748. Its totient is φ = 140676297469920.

The previous prime is 211221323122109. The next prime is 211221323122129. The reversal of 211221323122113 is 311221323122112.

211221323122113 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 2 + 132 + 312 + 211 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170575954983729 + 40645368138384 = 13060473^2 + 6375372^2 .

It is not a de Polignac number, because 211221323122113 - 2² = 211221323122109 is a prime.

It is a super-2 number, since 2×211221323122113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221323122133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11493152370 + ... + 11493170747.

It is an arithmetic number, because the mean of its divisors is an integer number (25449690745479).

Almost surely, 2^{211221323122113} is an apocalyptic number.

It is an amenable number.

211221323122113 is a deficient number, since it is larger than the sum of its proper divisors (94174965823635).

211221323122113 is a wasteful number, since it uses less digits than its factorization.

211221323122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22986324144 (or 22986324141 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 211221323122113 its reverse (311221323122112), we get a palindrome (522442646244225).

Subtracting 211221323122113 from its reverse (311221323122112), we obtain a palindrome (99999999999999).

The spelling of 211221323122113 in words is "two hundred eleven trillion, two hundred twenty-one billion, three hundred twenty-three million, one hundred twenty-two thousand, one hundred thirteen".