131312120 has 32 divisors (see below), whose sum is σ = 298386720. Its totient is φ = 52003200.

The previous prime is 131312047. The next prime is 131312147. The reversal of 131312120 is 21213131.

It is a junction number, because it is equal to n+sod(n) for n = 131312095 and 131312104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12212 + ... + 20291.

It is an arithmetic number, because the mean of its divisors is an integer number (9324585).

Almost surely, 2^131312120 is an apocalyptic number.

131312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131312120 is an abundant number, since it is smaller than the sum of its proper divisors (167074600).

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

131312120 is a wasteful number, since it uses less digits than its factorization.

131312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32615 (or 32611 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131312120 is about 11459.1500557415. The cubic root of 131312120 is about 508.2783416877.

Adding to 131312120 its reverse (21213131), we get a palindrome (152525251).

It can be divided in two parts, 13131 and 2120, that added together give a palindrome (15251).

The spelling of 131312120 in words is "one hundred thirty-one million, three hundred twelve thousand, one hundred twenty".