131012224141312 has 192 divisors, whose sum is σ = 271970706309120. Its totient is φ = 63028094976000.

The previous prime is 131012224141283. The next prime is 131012224141313. The reversal of 131012224141312 is 213141422210131.

It is a super-3 number, since 3×131012224141312³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131012224141313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11342061937 + ... + 11342073487.

It is an arithmetic number, because the mean of its divisors is an integer number (1416514095360).

Almost surely, 2^{131012224141312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131012224141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135985353154560).

131012224141312 is an abundant number, since it is smaller than the sum of its proper divisors (140958482167808).

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

131012224141312 is a wasteful number, since it uses less digits than its factorization.

131012224141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12618 (or 12598 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 131012224141312 its reverse (213141422210131), we get a palindrome (344153646351443).

The spelling of 131012224141312 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, one hundred forty-one thousand, three hundred twelve".