21311011131301 has 2 divisors, whose sum is σ = 21311011131302. Its totient is φ = 21311011131300.

The previous prime is 21311011131299. The next prime is 21311011131317. The reversal of 21311011131301 is 10313111011312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16970980572225 + 4340030559076 = 4119585^2 + 2083274^2 .

It is a cyclic number.

It is not a de Polignac number, because 21311011131301 - 2¹ = 21311011131299 is a prime.

Together with 21311011131299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21311011131001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10655505565650 + 10655505565651.

It is an arithmetic number, because the mean of its divisors is an integer number (10655505565651).

Almost surely, 2^{21311011131301} is an apocalyptic number.

It is an amenable number.

21311011131301 is a deficient number, since it is larger than the sum of its proper divisors (1).

21311011131301 is an equidigital number, since it uses as much as digits as its factorization.

21311011131301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 21311011131301 its reverse (10313111011312), we get a palindrome (31624122142613).

The spelling of 21311011131301 in words is "twenty-one trillion, three hundred eleven billion, eleven million, one hundred thirty-one thousand, three hundred one".