131241012 has 72 divisors (see below), whose sum is σ = 362164320. Its totient is φ = 36872640.

The previous prime is 131240983. The next prime is 131241017. The reversal of 131241012 is 210142131.

It is a junction number, because it is equal to n+sod(n) for n = 131240982 and 131241000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131241017) 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 23 ways as a sum of consecutive naturals, for example, 34039 + ... + 37697.

It is an arithmetic number, because the mean of its divisors is an integer number (5030060).

Almost surely, 2^131241012 is an apocalyptic number.

131241012 is a gapful number since it is divisible by the number (12) 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 131241012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181082160).

131241012 is an abundant number, since it is smaller than the sum of its proper divisors (230923308).

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

131241012 is a wasteful number, since it uses less digits than its factorization.

131241012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131241012 is about 11456.0469621942. The cubic root of 131241012 is about 508.1865776722.

Adding to 131241012 its reverse (210142131), we get a palindrome (341383143).

It can be divided in two parts, 1312 and 41012, that added together give a palindrome (42324).

The spelling of 131241012 in words is "one hundred thirty-one million, two hundred forty-one thousand, twelve".