131533205 has 18 divisors (see below), whose sum is σ = 165744054. Its totient is φ = 100200144.

The previous prime is 131533201. The next prime is 131533211. The reversal of 131533205 is 502335131.

It can be written as a sum of positive squares in only one way, i.e., 105226564 + 26306641 = 10258^2 + 5129^2 .

It is not a de Polignac number, because 131533205 - 2² = 131533201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131533201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 589724 + ... + 589946.

It is an arithmetic number, because the mean of its divisors is an integer number (9208003).

Almost surely, 2^131533205 is an apocalyptic number.

It is an amenable number.

131533205 is a deficient number, since it is larger than the sum of its proper divisors (34210849).

131533205 is an frugal number, since it uses more digits than its factorization.

131533205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 131533205 is about 11468.7926565964. The cubic root of 131533205 is about 508.5634377633.

Adding to 131533205 its reverse (502335131), we get a palindrome (633868336).

The spelling of 131533205 in words is "one hundred thirty-one million, five hundred thirty-three thousand, two hundred five".