20211311321101 has 2 divisors, whose sum is σ = 20211311321102. Its totient is φ = 20211311321100.

The previous prime is 20211311321093. The next prime is 20211311321171. The reversal of 20211311321101 is 10112311311202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20211309498601 + 1822500 = 4495699^2 + 1350^2 .

It is a cyclic number.

It is not a de Polignac number, because 20211311321101 - 2³ = 20211311321093 is a prime.

It is a super-3 number, since 3×20211311321101³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20211311321171) 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 as a sum of consecutive naturals, namely, 10105655660550 + 10105655660551.

It is an arithmetic number, because the mean of its divisors is an integer number (10105655660551).

Almost surely, 2^{20211311321101} is an apocalyptic number.

It is an amenable number.

20211311321101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20211311321101 is an equidigital number, since it uses as much as digits as its factorization.

20211311321101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 20211311321101 its reverse (10112311311202), we get a palindrome (30323622632303).

The spelling of 20211311321101 in words is "twenty trillion, two hundred eleven billion, three hundred eleven million, three hundred twenty-one thousand, one hundred one".