131138205 has 32 divisors (see below), whose sum is σ = 230681088. Its totient is φ = 63086400.

The previous prime is 131138197. The next prime is 131138219. The reversal of 131138205 is 502831131.

It is not a de Polignac number, because 131138205 - 2³ = 131138197 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18582 + ... + 24648.

It is an arithmetic number, because the mean of its divisors is an integer number (7208784).

Almost surely, 2^131138205 is an apocalyptic number.

131138205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131138205 is a deficient number, since it is larger than the sum of its proper divisors (99542883).

131138205 is a wasteful number, since it uses less digits than its factorization.

131138205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 131138205 is about 11451.5590641624. The cubic root of 131138205 is about 508.0538478580.

Adding to 131138205 its reverse (502831131), we get a palindrome (633969336).

The spelling of 131138205 in words is "one hundred thirty-one million, one hundred thirty-eight thousand, two hundred five".