131018131 has 2 divisors, whose sum is σ = 131018132. Its totient is φ = 131018130.

The previous prime is 131018113. The next prime is 131018149. The reversal of 131018131 is 131810131.

Together with previous prime (131018113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (131018113) and next prime (131018149).

It is a cyclic number.

It is not a de Polignac number, because 131018131 - 2⁷ = 131018003 is a prime.

It is a super-2 number, since 2×131018131² = 34331501301466322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131018099 and 131018108.

It is not a weakly prime, because it can be changed into another prime (131018161) 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, 65509065 + 65509066.

It is an arithmetic number, because the mean of its divisors is an integer number (65509066).

Almost surely, 2^131018131 is an apocalyptic number.

131018131 is a deficient number, since it is larger than the sum of its proper divisors (1).

131018131 is an equidigital number, since it uses as much as digits as its factorization.

131018131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 131018131 is about 11446.3151712680. The cubic root of 131018131 is about 507.8987374886.

Adding to 131018131 its reverse (131810131), we get a palindrome (262828262).

The spelling of 131018131 in words is "one hundred thirty-one million, eighteen thousand, one hundred thirty-one".