131119880 has 64 divisors (see below), whose sum is σ = 303575040. Its totient is φ = 50948352.

The previous prime is 131119837. The next prime is 131119913. The reversal of 131119880 is 88911131.

131119880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 268997 + ... + 269483.

It is an arithmetic number, because the mean of its divisors is an integer number (4743360).

Almost surely, 2^131119880 is an apocalyptic number.

131119880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131119880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151787520).

131119880 is an abundant number, since it is smaller than the sum of its proper divisors (172455160).

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

131119880 is a wasteful number, since it uses less digits than its factorization.

131119880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 32.

The square root of 131119880 is about 11450.7589268135. The cubic root of 131119880 is about 508.0301819338.

The spelling of 131119880 in words is "one hundred thirty-one million, one hundred nineteen thousand, eight hundred eighty".