131328020 has 48 divisors (see below), whose sum is σ = 285922560. Its totient is φ = 50633856.

The previous prime is 131328013. The next prime is 131328023. The reversal of 131328020 is 20823131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131327983 and 131328001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131328023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66974 + ... + 68906.

It is an arithmetic number, because the mean of its divisors is an integer number (5956720).

Almost surely, 2^131328020 is an apocalyptic number.

131328020 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 131328020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142961280).

131328020 is an abundant number, since it is smaller than the sum of its proper divisors (154594540).

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

131328020 is a wasteful number, since it uses less digits than its factorization.

131328020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 131328020 is about 11459.8438034731. The cubic root of 131328020 is about 508.2988559136.

The spelling of 131328020 in words is "one hundred thirty-one million, three hundred twenty-eight thousand, twenty".