131021444431001 has 16 divisors (see below), whose sum is σ = 131373807724800. Its totient is φ = 130669642540800.

The previous prime is 131021444430991. The next prime is 131021444431117. The reversal of 131021444431001 is 100134444120131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131021444431001 - 2⁶ = 131021444430937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131021444430001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2266425185 + ... + 2266482993.

It is an arithmetic number, because the mean of its divisors is an integer number (8210862982800).

Almost surely, 2^{131021444431001} is an apocalyptic number.

It is an amenable number.

131021444431001 is a deficient number, since it is larger than the sum of its proper divisors (352363293799).

131021444431001 is a wasteful number, since it uses less digits than its factorization.

131021444431001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62560.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 131021444431001 its reverse (100134444120131), we get a palindrome (231155888551132).

The spelling of 131021444431001 in words is "one hundred thirty-one trillion, twenty-one billion, four hundred forty-four million, four hundred thirty-one thousand, one".