10643114631161 has 2 divisors, whose sum is σ = 10643114631162. Its totient is φ = 10643114631160.

The previous prime is 10643114631151. The next prime is 10643114631167. The reversal of 10643114631161 is 16113641134601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6534061304761 + 4109053326400 = 2556181^2 + 2027080^2 .

It is a cyclic number.

It is not a de Polignac number, because 10643114631161 - 2²⁶ = 10643047522297 is a prime.

It is a super-2 number, since 2×10643114631161² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10643114631167) 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, 5321557315580 + 5321557315581.

It is an arithmetic number, because the mean of its divisors is an integer number (5321557315581).

Almost surely, 2^{10643114631161} is an apocalyptic number.

It is an amenable number.

10643114631161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10643114631161 is an equidigital number, since it uses as much as digits as its factorization.

10643114631161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 38.

Adding to 10643114631161 its reverse (16113641134601), we get a palindrome (26756755765762).

The spelling of 10643114631161 in words is "ten trillion, six hundred forty-three billion, one hundred fourteen million, six hundred thirty-one thousand, one hundred sixty-one".