131020131 has 36 divisors (see below), whose sum is σ = 197230488. Its totient is φ = 77299200.

The previous prime is 131020117. The next prime is 131020151.

131020131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131020131 - 2¹⁰ = 131019107 is a prime.

It is a super-2 number, since 2×131020131² = 34332549454514322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020151) 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 35 ways as a sum of consecutive naturals, for example, 1350675 + ... + 1350771.

Almost surely, 2^131020131 is an apocalyptic number.

131020131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131020131 is a deficient number, since it is larger than the sum of its proper divisors (66210357).

131020131 is an equidigital number, since it uses as much as digits as its factorization.

131020131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131020131 is about 11446.4025352947. The cubic root of 131020131 is about 507.9013218442.

The spelling of 131020131 in words is "one hundred thirty-one million, twenty thousand, one hundred thirty-one".