211113011331222 has 640 divisors, whose sum is σ = 595889338480128. Its totient is φ = 49118565888000.

The previous prime is 211113011331043. The next prime is 211113011331223. The reversal of 211113011331222 is 222133110311112.

It is a junction number, because it is equal to n+sod(n) for n = 211113011331192 and 211113011331201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211113011331223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30565077093 + ... + 30565083999.

Almost surely, 2^{211113011331222} is an apocalyptic number.

211113011331222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211113011331222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297944669240064).

211113011331222 is an abundant number, since it is smaller than the sum of its proper divisors (384776327148906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211113011331222 is a wasteful number, since it uses less digits than its factorization.

211113011331222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7402 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 211113011331222 its reverse (222133110311112), we get a palindrome (433246121642334).

The spelling of 211113011331222 in words is "two hundred eleven trillion, one hundred thirteen billion, eleven million, three hundred thirty-one thousand, two hundred twenty-two".