131205333 has 16 divisors (see below), whose sum is σ = 202465280. Its totient is φ = 74024496.

The previous prime is 131205323. The next prime is 131205359. The reversal of 131205333 is 333502131.

It is not a de Polignac number, because 131205333 - 2⁵ = 131205301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131205323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37885 + ... + 41202.

It is an arithmetic number, because the mean of its divisors is an integer number (12654080).

Almost surely, 2^131205333 is an apocalyptic number.

It is an amenable number.

131205333 is a deficient number, since it is larger than the sum of its proper divisors (71259947).

131205333 is an equidigital number, since it uses as much as digits as its factorization.

131205333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79176.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 131205333 is about 11454.4896438034. The cubic root of 131205333 is about 508.1405218650.

Adding to 131205333 its reverse (333502131), we get a palindrome (464707464).

The spelling of 131205333 in words is "one hundred thirty-one million, two hundred five thousand, three hundred thirty-three".