131123280 has 80 divisors (see below), whose sum is σ = 408348864. Its totient is φ = 34805760.

The previous prime is 131123269. The next prime is 131123323. The reversal of 131123280 is 82321131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×131123280³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 56707 + ... + 58973.

Almost surely, 2^131123280 is an apocalyptic number.

131123280 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 131123280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204174432).

131123280 is an abundant number, since it is smaller than the sum of its proper divisors (277225584).

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

131123280 is a wasteful number, since it uses less digits than its factorization.

131123280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 131123280 is about 11450.9073876265. The cubic root of 131123280 is about 508.0345730495.

The spelling of 131123280 in words is "one hundred thirty-one million, one hundred twenty-three thousand, two hundred eighty".