131262131 has 54 divisors (see below), whose sum is σ = 183126636. Its totient is φ = 93693600.

The previous prime is 131262121. The next prime is 131262139.

131262131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131262131 - 2¹⁴ = 131245747 is a prime.

It is a super-2 number, since 2×131262131² = 34459494069322322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131262139) 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 in 53 ways as a sum of consecutive naturals, for example, 1001936 + ... + 1002066.

It is an arithmetic number, because the mean of its divisors is an integer number (3391234).

Almost surely, 2^131262131 is an apocalyptic number.

131262131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131262131 is a deficient number, since it is larger than the sum of its proper divisors (51864505).

131262131 is a wasteful number, since it uses less digits than its factorization.

131262131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 131262131 is about 11456.9686654019. The cubic root of 131262131 is about 508.2138349463.

It can be divided in two parts, 131 and 262131, that added together give a palindrome (262262).

The spelling of 131262131 in words is "one hundred thirty-one million, two hundred sixty-two thousand, one hundred thirty-one".