131101230100444 has 72 divisors (see below), whose sum is σ = 262516763271168. Its totient is φ = 57108694874880.

The previous prime is 131101230100439. The next prime is 131101230100453. The reversal of 131101230100444 is 444001032101131.

131101230100444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78705484 + ... + 80353939.

It is an arithmetic number, because the mean of its divisors is an integer number (3646066156544).

Almost surely, 2^{131101230100444} is an apocalyptic number.

It is an amenable number.

131101230100444 is an abundant number, since it is smaller than the sum of its proper divisors (131415533170724).

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

131101230100444 is a wasteful number, since it uses less digits than its factorization.

131101230100444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159059515 (or 159059496 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131101230100444 its reverse (444001032101131), we get a palindrome (575102262201575).

The spelling of 131101230100444 in words is "one hundred thirty-one trillion, one hundred one billion, two hundred thirty million, one hundred thousand, four hundred forty-four".