131120768 has 32 divisors (see below), whose sum is σ = 261740160. Its totient is φ = 65429248.

The previous prime is 131120749. The next prime is 131120831. The reversal of 131120768 is 867021131.

131120768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131120768.

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 3 ways as a sum of consecutive naturals, for example, 109871 + ... + 111057.

It is an arithmetic number, because the mean of its divisors is an integer number (8179380).

Almost surely, 2^131120768 is an apocalyptic number.

It is an amenable number.

131120768 is a deficient number, since it is larger than the sum of its proper divisors (130619392).

131120768 is an equidigital number, since it uses as much as digits as its factorization.

131120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 131120768 is about 11450.7977014704. The cubic root of 131120768 is about 508.0313287972.

Adding to 131120768 its reverse (867021131), we get a palindrome (998141899).

The spelling of 131120768 in words is "one hundred thirty-one million, one hundred twenty thousand, seven hundred sixty-eight".