131054129 has 2 divisors, whose sum is σ = 131054130. Its totient is φ = 131054128.

The previous prime is 131054117. The next prime is 131054149. The reversal of 131054129 is 921450131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126000625 + 5053504 = 11225^2 + 2248^2 .

It is a cyclic number.

It is not a de Polignac number, because 131054129 - 2⁸ = 131053873 is a prime.

It is a super-3 number, since 3×131054129³ (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 131054098 and 131054107.

It is not a weakly prime, because it can be changed into another prime (131054149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65527064 + 65527065.

It is an arithmetic number, because the mean of its divisors is an integer number (65527065).

Almost surely, 2^131054129 is an apocalyptic number.

It is an amenable number.

131054129 is a deficient number, since it is larger than the sum of its proper divisors (1).

131054129 is an equidigital number, since it uses as much as digits as its factorization.

131054129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 131054129 is about 11447.8875343882. The cubic root of 131054129 is about 507.9452492815.

The spelling of 131054129 in words is "one hundred thirty-one million, fifty-four thousand, one hundred twenty-nine".