131040113404177 has 2 divisors, whose sum is σ = 131040113404178. Its totient is φ = 131040113404176.

The previous prime is 131040113404093. The next prime is 131040113404261. The reversal of 131040113404177 is 771404311040131.

It is a balanced prime because it is at equal distance from previous prime (131040113404093) and next prime (131040113404261).

It can be written as a sum of positive squares in only one way, i.e., 86880313963521 + 44159799440656 = 9320961^2 + 6645284^2 .

It is a cyclic number.

It is not a de Polignac number, because 131040113404177 - 2¹¹ = 131040113402129 is a prime.

It is a super-2 number, since 2×131040113404177² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131040113404877) 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, 65520056702088 + 65520056702089.

It is an arithmetic number, because the mean of its divisors is an integer number (65520056702089).

Almost surely, 2^{131040113404177} is an apocalyptic number.

It is an amenable number.

131040113404177 is a deficient number, since it is larger than the sum of its proper divisors (1).

131040113404177 is an equidigital number, since it uses as much as digits as its factorization.

131040113404177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 131040113404177 in words is "one hundred thirty-one trillion, forty billion, one hundred thirteen million, four hundred four thousand, one hundred seventy-seven".