131312820 has 48 divisors (see below), whose sum is σ = 368440128. Its totient is φ = 34944000.

The previous prime is 131312801. The next prime is 131312821. The reversal of 131312820 is 28213131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131312821) 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, 30820 + ... + 34820.

It is an arithmetic number, because the mean of its divisors is an integer number (7675836).

Almost surely, 2^131312820 is an apocalyptic number.

131312820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131312820 is an abundant number, since it is smaller than the sum of its proper divisors (237127308).

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

131312820 is a wasteful number, since it uses less digits than its factorization.

131312820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 131312820 is about 11459.1805989783. The cubic root of 131312820 is about 508.2792448646.

Adding to 131312820 its reverse (28213131), we get a palindrome (159525951).

It can be divided in two parts, 13131 and 2820, that added together give a palindrome (15951).

The spelling of 131312820 in words is "one hundred thirty-one million, three hundred twelve thousand, eight hundred twenty".