131005252224 has 864 divisors, whose sum is σ = 495975130560. Its totient is φ = 32806287360.

The previous prime is 131005252199. The next prime is 131005252237. The reversal of 131005252224 is 422252500131.

131005252224 is a `hidden beast` number, since 13 + 100 + 5 + 2 + 522 + 24 = 666.

It is a super-2 number, since 2×131005252224² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1955302239 + ... + 1955302305.

It is an arithmetic number, because the mean of its divisors is an integer number (574045290).

Almost surely, 2^131005252224 is an apocalyptic number.

131005252224 is a gapful number since it is divisible by the number (14) 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 131005252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247987565280).

131005252224 is an abundant number, since it is smaller than the sum of its proper divisors (364969878336).

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

131005252224 is a wasteful number, since it uses less digits than its factorization.

131005252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 131005252224 its reverse (422252500131), we get a palindrome (553257752355).

The spelling of 131005252224 in words is "one hundred thirty-one billion, five million, two hundred fifty-two thousand, two hundred twenty-four".