131007104 has 32 divisors (see below), whose sum is σ = 263078400. Its totient is φ = 64979712.

The previous prime is 131007059. The next prime is 131007113. The reversal of 131007104 is 401700131.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×131007104² = 34325722596933632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12227 + ... + 20285.

It is an arithmetic number, because the mean of its divisors is an integer number (8221200).

Almost surely, 2^131007104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131539200).

131007104 is an abundant number, since it is smaller than the sum of its proper divisors (132071296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131007104 is an equidigital number, since it uses as much as digits as its factorization.

131007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8200 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 131007104 is about 11445.8334777333. The cubic root of 131007104 is about 507.8844881720.

Adding to 131007104 its reverse (401700131), we get a palindrome (532707235).

The spelling of 131007104 in words is "one hundred thirty-one million, seven thousand, one hundred four".