211001331313321 has 8 divisors (see below), whose sum is σ = 217504653321600. Its totient is φ = 204581923137648.

The previous prime is 211001331313187. The next prime is 211001331313349. The reversal of 211001331313321 is 123313133100112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211001331313321 - 2³³ = 210992741378729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211001331613321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20978453046 + ... + 20978463103.

It is an arithmetic number, because the mean of its divisors is an integer number (27188081665200).

Almost surely, 2^{211001331313321} is an apocalyptic number.

It is an amenable number.

211001331313321 is a deficient number, since it is larger than the sum of its proper divisors (6503322008279).

211001331313321 is a wasteful number, since it uses less digits than its factorization.

211001331313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41956916303.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 211001331313321 its reverse (123313133100112), we get a palindrome (334314464413433).

The spelling of 211001331313321 in words is "two hundred eleven trillion, one billion, three hundred thirty-one million, three hundred thirteen thousand, three hundred twenty-one".