131166101661131 has 2 divisors, whose sum is σ = 131166101661132. Its totient is φ = 131166101661130.

The previous prime is 131166101661109. The next prime is 131166101661167.

131166101661131 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131166101661131 is a prime.

It is a super-2 number, since 2×131166101661131² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (131166101663131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65583050830565 + 65583050830566.

It is an arithmetic number, because the mean of its divisors is an integer number (65583050830566).

Almost surely, 2^{131166101661131} is an apocalyptic number.

131166101661131 is a deficient number, since it is larger than the sum of its proper divisors (1).

131166101661131 is an equidigital number, since it uses as much as digits as its factorization.

131166101661131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 38.

It can be divided in two parts, 13116610 and 1661131, that added together give a palindrome (14777741).

The spelling of 131166101661131 in words is "one hundred thirty-one trillion, one hundred sixty-six billion, one hundred one million, six hundred sixty-one thousand, one hundred thirty-one".