131114129 has 2 divisors, whose sum is σ = 131114130. Its totient is φ = 131114128.

The previous prime is 131114111. The next prime is 131114141. The reversal of 131114129 is 921411131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103530625 + 27583504 = 10175^2 + 5252^2 .

It is a cyclic number.

It is not a de Polignac number, because 131114129 - 2¹² = 131110033 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131114629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65557064 + 65557065.

It is an arithmetic number, because the mean of its divisors is an integer number (65557065).

Almost surely, 2^131114129 is an apocalyptic number.

It is an amenable number.

131114129 is a deficient number, since it is larger than the sum of its proper divisors (1).

131114129 is an equidigital number, since it uses as much as digits as its factorization.

131114129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 23.

The square root of 131114129 is about 11450.5078053334. The cubic root of 131114129 is about 508.0227543180.

The spelling of 131114129 in words is "one hundred thirty-one million, one hundred fourteen thousand, one hundred twenty-nine".