131311123212132 has 144 divisors (see below), whose sum is σ = 337300979324400. Its totient is φ = 43066842255360.

The previous prime is 131311123212083. The next prime is 131311123212151. The reversal of 131311123212132 is 231212321113131.

131311123212132 is a `hidden beast` number, since 1 + 3 + 1 + 311 + 1 + 2 + 3 + 212 + 132 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25919258481216 + 105391864730916 = 5091096^2 + 10266054^2 .

It is a super-2 number, since 2×131311123212132² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131311123212096 and 131311123212105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535384344 + ... + 535629552.

It is an arithmetic number, because the mean of its divisors is an integer number (2342367911975).

Almost surely, 2^{131311123212132} is an apocalyptic number.

131311123212132 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 131311123212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168650489662200).

131311123212132 is an abundant number, since it is smaller than the sum of its proper divisors (205989856112268).

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

131311123212132 is a wasteful number, since it uses less digits than its factorization.

131311123212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246126 (or 246121 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 131311123212132 its reverse (231212321113131), we get a palindrome (362523444325263).

The spelling of 131311123212132 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred twenty-three million, two hundred twelve thousand, one hundred thirty-two".