21340431300961 has 2 divisors, whose sum is σ = 21340431300962. Its totient is φ = 21340431300960.

The previous prime is 21340431300893. The next prime is 21340431301043. The reversal of 21340431300961 is 16900313404312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13938462230625 + 7401969070336 = 3733425^2 + 2720656^2 .

It is a cyclic number.

It is not a de Polignac number, because 21340431300961 - 2⁹ = 21340431300449 is a prime.

It is a super-2 number, since 2×21340431300961² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21340431300961.

It is not a weakly prime, because it can be changed into another prime (21340431307961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10670215650480 + 10670215650481.

It is an arithmetic number, because the mean of its divisors is an integer number (10670215650481).

Almost surely, 2^{21340431300961} is an apocalyptic number.

It is an amenable number.

21340431300961 is a deficient number, since it is larger than the sum of its proper divisors (1).

21340431300961 is an equidigital number, since it uses as much as digits as its factorization.

21340431300961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 21340431300961 in words is "twenty-one trillion, three hundred forty billion, four hundred thirty-one million, three hundred thousand, nine hundred sixty-one".