131324206167252 has 288 divisors, whose sum is σ = 424531848867840. Its totient is φ = 35314070287104.

The previous prime is 131324206167247. The next prime is 131324206167277. The reversal of 131324206167252 is 252761602423131.

131324206167252 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 4 + 2 + 0 + 616 + 7 + 25 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131324206167198 and 131324206167207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1723668 + ... + 16297835.

It is an arithmetic number, because the mean of its divisors is an integer number (1474068919680).

Almost surely, 2^{131324206167252} is an apocalyptic number.

131324206167252 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 131324206167252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212265924433920).

131324206167252 is an abundant number, since it is smaller than the sum of its proper divisors (293207642700588).

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

131324206167252 is a wasteful number, since it uses less digits than its factorization.

131324206167252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18021559 (or 18021532 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 131324206167252 in words is "one hundred thirty-one trillion, three hundred twenty-four billion, two hundred six million, one hundred sixty-seven thousand, two hundred fifty-two".