131285582131 has 32 divisors (see below), whose sum is σ = 149573952000. Its totient is φ = 115088327200.

The previous prime is 131285582119. The next prime is 131285582171.

It is a happy number.

131285582131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131285582131 - 2⁹ = 131285581619 is a prime.

It is a super-2 number, since 2×131285582131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131285582171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39793920 + ... + 39797218.

It is an arithmetic number, because the mean of its divisors is an integer number (4674186000).

Almost surely, 2^131285582131 is an apocalyptic number.

131285582131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131285582131 is a deficient number, since it is larger than the sum of its proper divisors (18288369869).

131285582131 is a wasteful number, since it uses less digits than its factorization.

131285582131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4370 counting only the distinct ones).

The product of its digits is 57600, while the sum is 40.

The spelling of 131285582131 in words is "one hundred thirty-one billion, two hundred eighty-five million, five hundred eighty-two thousand, one hundred thirty-one".