131311120 has 20 divisors (see below), whose sum is σ = 305298540. Its totient is φ = 52524416.

The previous prime is 131311099. The next prime is 131311123. The reversal of 131311120 is 21113131.

131311120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 87909376 + 43401744 = 9376^2 + 6588^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×131311120² = 34485220471308800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131311120.

It is not an unprimeable number, because it can be changed into a prime (131311123) 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 3 ways as a sum of consecutive naturals, for example, 820615 + ... + 820774.

It is an arithmetic number, because the mean of its divisors is an integer number (15264927).

Almost surely, 2^131311120 is an apocalyptic number.

131311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311120 is an abundant number, since it is smaller than the sum of its proper divisors (173987420).

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

131311120 is a wasteful number, since it uses less digits than its factorization.

131311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641402 (or 1641396 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 131311120 is about 11459.1064224048. The cubic root of 131311120 is about 508.2770514295.

Adding to 131311120 its reverse (21113131), we get a palindrome (152424251).

It can be divided in two parts, 1313111 and 20, that added together give a palindrome (1313131).

The spelling of 131311120 in words is "one hundred thirty-one million, three hundred eleven thousand, one hundred twenty".