131005083 has 16 divisors (see below), whose sum is σ = 191520000. Its totient is φ = 78994080.

The previous prime is 131005073. The next prime is 131005087. The reversal of 131005083 is 380500131.

It is a happy number.

It is not a de Polignac number, because 131005083 - 2⁴ = 131005067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131005087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3408 + ... + 16541.

It is an arithmetic number, because the mean of its divisors is an integer number (11970000).

Almost surely, 2^131005083 is an apocalyptic number.

131005083 is a deficient number, since it is larger than the sum of its proper divisors (60514917).

131005083 is a wasteful number, since it uses less digits than its factorization.

131005083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20162.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 131005083 is about 11445.7451919917. The cubic root of 131005083 is about 507.8818765074.

The spelling of 131005083 in words is "one hundred thirty-one million, five thousand, eighty-three".