131012333344112 has 160 divisors (see below), whose sum is σ = 279410960125440. Its totient is φ = 59016434688000.

The previous prime is 131012333344091. The next prime is 131012333344169. The reversal of 131012333344112 is 211443333210131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29836557437 + ... + 29836561827.

It is an arithmetic number, because the mean of its divisors is an integer number (1746318500784).

Almost surely, 2^{131012333344112} 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 131012333344112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139705480062720).

131012333344112 is an abundant number, since it is smaller than the sum of its proper divisors (148398626781328).

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

131012333344112 is a wasteful number, since it uses less digits than its factorization.

131012333344112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 131012333344112 its reverse (211443333210131), we get a palindrome (342455666554243).

The spelling of 131012333344112 in words is "one hundred thirty-one trillion, twelve billion, three hundred thirty-three million, three hundred forty-four thousand, one hundred twelve".