31201182161 has 2 divisors, whose sum is σ = 31201182162. Its totient is φ = 31201182160.

The previous prime is 31201182119. The next prime is 31201182217. The reversal of 31201182161 is 16128110213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25382543761 + 5818638400 = 159319^2 + 76280^2 .

It is an emirp because it is prime and its reverse (16128110213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31201182161 - 2²⁶ = 31134073297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31201182161.

It is not a weakly prime, because it can be changed into another prime (31201172161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15600591080 + 15600591081.

It is an arithmetic number, because the mean of its divisors is an integer number (15600591081).

Almost surely, 2^31201182161 is an apocalyptic number.

It is an amenable number.

31201182161 is a deficient number, since it is larger than the sum of its proper divisors (1).

31201182161 is an equidigital number, since it uses as much as digits as its factorization.

31201182161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 31201182161 its reverse (16128110213), we get a palindrome (47329292374).

The spelling of 31201182161 in words is "thirty-one billion, two hundred one million, one hundred eighty-two thousand, one hundred sixty-one".