131318880 has 576 divisors, whose sum is σ = 579156480. Its totient is φ = 24330240.

The previous prime is 131318867. The next prime is 131318881. The reversal of 131318880 is 88813131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131318881) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6911511 + ... + 6911529.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^131318880 is an apocalyptic number.

131318880 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 131318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

131318880 is an abundant number, since it is smaller than the sum of its proper divisors (447837600).

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

131318880 is a wasteful number, since it uses less digits than its factorization.

131318880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 131318880 is about 11459.4450127395. The cubic root of 131318880 is about 508.2870636616.

The spelling of 131318880 in words is "one hundred thirty-one million, three hundred eighteen thousand, eight hundred eighty".