131005031 has 2 divisors, whose sum is σ = 131005032. Its totient is φ = 131005030.

The previous prime is 131004947. The next prime is 131005067. The reversal of 131005031 is 130500131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 131005031 - 2²² = 126810727 is a prime.

It is a super-2 number, since 2×131005031² = 34324636294621922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131004997 and 131005015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131005331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65502515 + 65502516.

It is an arithmetic number, because the mean of its divisors is an integer number (65502516).

Almost surely, 2^131005031 is an apocalyptic number.

131005031 is a deficient number, since it is larger than the sum of its proper divisors (1).

131005031 is an equidigital number, since it uses as much as digits as its factorization.

131005031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 131005031 is about 11445.7429204049. The cubic root of 131005031 is about 507.8818093094.

Adding to 131005031 its reverse (130500131), we get a palindrome (261505162).

The spelling of 131005031 in words is "one hundred thirty-one million, five thousand, thirty-one".