131111131 has 2 divisors, whose sum is σ = 131111132. Its totient is φ = 131111130.

The previous prime is 131111129. The next prime is 131111137.

131111131 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 131111131 - 2¹ = 131111129 is a prime.

It is a super-2 number, since 2×131111131² = 34380257344198322, which contains 22 as substring.

Together with 131111129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131111137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65555565 + 65555566.

It is an arithmetic number, because the mean of its divisors is an integer number (65555566).

Almost surely, 2^131111131 is an apocalyptic number.

131111131 is a deficient number, since it is larger than the sum of its proper divisors (1).

131111131 is an equidigital number, since it uses as much as digits as its factorization.

131111131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9, while the sum is 13.

The square root of 131111131 is about 11450.3768933603. The cubic root of 131111131 is about 508.0188822109.

The spelling of 131111131 in words is "one hundred thirty-one million, one hundred eleven thousand, one hundred thirty-one".