131431311 has 24 divisors (see below), whose sum is σ = 208615680. Its totient is φ = 79074000.

The previous prime is 131431309. The next prime is 131431343. The reversal of 131431311 is 113134131.

It is not a de Polignac number, because 131431311 - 2¹ = 131431309 is a prime.

It is a super-2 number, since 2×131431311² = 34548379022357442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131431211) 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 in 23 ways as a sum of consecutive naturals, for example, 8986 + ... + 18536.

It is an arithmetic number, because the mean of its divisors is an integer number (8692320).

Almost surely, 2^131431311 is an apocalyptic number.

131431311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131431311 is a deficient number, since it is larger than the sum of its proper divisors (77184369).

131431311 is a wasteful number, since it uses less digits than its factorization.

131431311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9707 (or 9704 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 131431311 is about 11464.3495672454. The cubic root of 131431311 is about 508.4320819595.

Adding to 131431311 its reverse (113134131), we get a palindrome (244565442).

The spelling of 131431311 in words is "one hundred thirty-one million, four hundred thirty-one thousand, three hundred eleven".