131252548801 has 16 divisors (see below), whose sum is σ = 143829556416. Its totient is φ = 118783840000.

The previous prime is 131252548751. The next prime is 131252548807. The reversal of 131252548801 is 108845252131.

It is a cyclic number.

It is not a de Polignac number, because 131252548801 - 2²¹ = 131250451649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131252548807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3352821 + ... + 3391741.

It is an arithmetic number, because the mean of its divisors is an integer number (8989347276).

Almost surely, 2^131252548801 is an apocalyptic number.

131252548801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131252548801 is a deficient number, since it is larger than the sum of its proper divisors (12577007615).

131252548801 is a wasteful number, since it uses less digits than its factorization.

131252548801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40304.

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 131252548801 in words is "one hundred thirty-one billion, two hundred fifty-two million, five hundred forty-eight thousand, eight hundred one".