131031105 has 32 divisors (see below), whose sum is σ = 218630016. Its totient is φ = 66952704.

The previous prime is 131031091. The next prime is 131031113. The reversal of 131031105 is 501130131.

It is not a de Polignac number, because 131031105 - 2⁵ = 131031073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 32269 + ... + 36101.

It is an arithmetic number, because the mean of its divisors is an integer number (6832188).

Almost surely, 2^131031105 is an apocalyptic number.

131031105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131031105 is a deficient number, since it is larger than the sum of its proper divisors (87598911).

131031105 is a wasteful number, since it uses less digits than its factorization.

131031105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 131031105 is about 11446.8818898423. The cubic root of 131031105 is about 507.9155017351.

Adding to 131031105 its reverse (501130131), we get a palindrome (632161236).

The spelling of 131031105 in words is "one hundred thirty-one million, thirty-one thousand, one hundred five".