211301431131221 has 16 divisors (see below), whose sum is σ = 217916084176560. Its totient is φ = 204734372843520.

The previous prime is 211301431131191. The next prime is 211301431131253. The reversal of 211301431131221 is 122131134103112.

211301431131221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3552131784100 + 207749299347121 = 1884710^2 + 14413511^2 .

It is a cyclic number.

It is not a de Polignac number, because 211301431131221 - 2⁴⁶ = 140932686953557 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211301431131281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761096585 + ... + 761374161.

It is an arithmetic number, because the mean of its divisors is an integer number (13619755261035).

Almost surely, 2^{211301431131221} is an apocalyptic number.

It is an amenable number.

211301431131221 is a deficient number, since it is larger than the sum of its proper divisors (6614653045339).

211301431131221 is a wasteful number, since it uses less digits than its factorization.

211301431131221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363224.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 211301431131221 its reverse (122131134103112), we get a palindrome (333432565234333).

The spelling of 211301431131221 in words is "two hundred eleven trillion, three hundred one billion, four hundred thirty-one million, one hundred thirty-one thousand, two hundred twenty-one".