131322720 has 96 divisors (see below), whose sum is σ = 416894688. Its totient is φ = 34746368.

The previous prime is 131322703. The next prime is 131322721. The reversal of 131322720 is 27223131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×131322720³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131322721) 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, 64762 + ... + 66758.

It is an arithmetic number, because the mean of its divisors is an integer number (4342653).

Almost surely, 2^131322720 is an apocalyptic number.

131322720 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 131322720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208447344).

131322720 is an abundant number, since it is smaller than the sum of its proper divisors (285571968).

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

131322720 is a wasteful number, since it uses less digits than its factorization.

131322720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 131322720 is about 11459.6125588957. The cubic root of 131322720 is about 508.2920180223.

Adding to 131322720 its reverse (27223131), we get a palindrome (158545851).

The spelling of 131322720 in words is "one hundred thirty-one million, three hundred twenty-two thousand, seven hundred twenty".