131310720 has 320 divisors, whose sum is σ = 499851000. Its totient is φ = 32735232.

The previous prime is 131310713. The next prime is 131310727. The reversal of 131310720 is 27013131.

It is an interprime number because it is at equal distance from previous prime (131310713) and next prime (131310727).

It can be written as a sum of positive squares in 4 ways, for example, as 97298496 + 34012224 = 9864^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131310693 and 131310702.

It is not an unprimeable number, because it can be changed into a prime (131310727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881206 + ... + 881354.

Almost surely, 2^131310720 is an apocalyptic number.

131310720 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 131310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249925500).

131310720 is an abundant number, since it is smaller than the sum of its proper divisors (368540280).

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

131310720 is a wasteful number, since it uses less digits than its factorization.

131310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 131310720 is about 11459.0889690237. The cubic root of 131310720 is about 508.2765353244.

Adding to 131310720 its reverse (27013131), we get a palindrome (158323851).

The spelling of 131310720 in words is "one hundred thirty-one million, three hundred ten thousand, seven hundred twenty".