131020431010112 has 112 divisors (see below), whose sum is σ = 303465403207680. Its totient is φ = 54955494876672.

The previous prime is 131020431010109. The next prime is 131020431010141. The reversal of 131020431010112 is 211010134020131.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 1474696763 + ... + 1474785605.

It is an arithmetic number, because the mean of its divisors is an integer number (2709512528640).

Almost surely, 2^{131020431010112} is an apocalyptic number.

It is an amenable number.

131020431010112 is an abundant number, since it is smaller than the sum of its proper divisors (172444972197568).

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

131020431010112 is an equidigital number, since it uses as much as digits as its factorization.

131020431010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158948 (or 158938 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 131020431010112 its reverse (211010134020131), we get a palindrome (342030565030243).

The spelling of 131020431010112 in words is "one hundred thirty-one trillion, twenty billion, four hundred thirty-one million, ten thousand, one hundred twelve".