131241232512 has 192 divisors, whose sum is σ = 424395316800. Its totient is φ = 38626080768.

The previous prime is 131241232501. The next prime is 131241232559. The reversal of 131241232512 is 215232142131.

It is a happy number.

131241232512 is a `hidden beast` number, since 1 + 3 + 1 + 24 + 123 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×131241232512² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153939 + ... + 534957.

It is an arithmetic number, because the mean of its divisors is an integer number (2210392275).

Almost surely, 2^131241232512 is an apocalyptic number.

131241232512 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 131241232512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212197658400).

131241232512 is an abundant number, since it is smaller than the sum of its proper divisors (293154084288).

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

131241232512 is a wasteful number, since it uses less digits than its factorization.

131241232512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381075 (or 381060 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 131241232512 its reverse (215232142131), we get a palindrome (346473374643).

The spelling of 131241232512 in words is "one hundred thirty-one billion, two hundred forty-one million, two hundred thirty-two thousand, five hundred twelve".