8181731633213 has 2 divisors, whose sum is σ = 8181731633214. Its totient is φ = 8181731633212.

The previous prime is 8181731633189. The next prime is 8181731633219. The reversal of 8181731633213 is 3123361371818.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8168867083129 + 12864550084 = 2858123^2 + 113422^2 .

It is a cyclic number.

It is not a de Polignac number, because 8181731633213 - 2¹⁴ = 8181731616829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8181731633219) 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, 4090865816606 + 4090865816607.

It is an arithmetic number, because the mean of its divisors is an integer number (4090865816607).

Almost surely, 2^{8181731633213} is an apocalyptic number.

It is an amenable number.

8181731633213 is a deficient number, since it is larger than the sum of its proper divisors (1).

8181731633213 is an equidigital number, since it uses as much as digits as its factorization.

8181731633213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 435456, while the sum is 47.

The spelling of 8181731633213 in words is "eight trillion, one hundred eighty-one billion, seven hundred thirty-one million, six hundred thirty-three thousand, two hundred thirteen".