211131101322321 has 16 divisors (see below), whose sum is σ = 288056485945536. Its totient is φ = 137479929624576.

The previous prime is 211131101322311. The next prime is 211131101322403. The reversal of 211131101322321 is 123223101131112.

It is not a de Polignac number, because 211131101322321 - 2⁶ = 211131101322257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211131101322291 and 211131101322300.

It is not an unprimeable number, because it can be changed into a prime (211131101322301) 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, 18357321 + ... + 27554553.

It is an arithmetic number, because the mean of its divisors is an integer number (18003530371596).

Almost surely, 2^{211131101322321} is an apocalyptic number.

It is an amenable number.

211131101322321 is a deficient number, since it is larger than the sum of its proper divisors (76925384623215).

211131101322321 is a wasteful number, since it uses less digits than its factorization.

211131101322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9375232.

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

Adding to 211131101322321 its reverse (123223101131112), we get a palindrome (334354202453433).

The spelling of 211131101322321 in words is "two hundred eleven trillion, one hundred thirty-one billion, one hundred one million, three hundred twenty-two thousand, three hundred twenty-one".