81329103131 has 2 divisors, whose sum is σ = 81329103132. Its totient is φ = 81329103130.

The previous prime is 81329102999. The next prime is 81329103133. The reversal of 81329103131 is 13130192318.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 81329103131 - 2¹⁸ = 81328840987 is a prime.

It is a super-2 number, since 2×81329103131² (a number of 23 digits) contains 22 as substring.

Together with 81329103133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (81329103133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40664551565 + 40664551566.

It is an arithmetic number, because the mean of its divisors is an integer number (40664551566).

Almost surely, 2^81329103131 is an apocalyptic number.

81329103131 is a deficient number, since it is larger than the sum of its proper divisors (1).

81329103131 is an equidigital number, since it uses as much as digits as its factorization.

81329103131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

Adding to 81329103131 its reverse (13130192318), we get a palindrome (94459295449).

The spelling of 81329103131 in words is "eighty-one billion, three hundred twenty-nine million, one hundred three thousand, one hundred thirty-one".