131001044200020 has 144 divisors (see below), whose sum is σ = 401549186460240. Its totient is φ = 34567825563648.

The previous prime is 131001044199989. The next prime is 131001044200043. The reversal of 131001044200020 is 20002440100131.

It can be written as a sum of positive squares in 8 ways, for example, as 29810682727056 + 101190361472964 = 5459916^2 + 10059342^2 .

It is a super-2 number, since 2×131001044200020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131001044199966 and 131001044200002.

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 47 ways as a sum of consecutive naturals, for example, 767505 + ... + 16204664.

It is an arithmetic number, because the mean of its divisors is an integer number (2788536017085).

Almost surely, 2^{131001044200020} is an apocalyptic number.

131001044200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131001044200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200774593230120).

131001044200020 is an abundant number, since it is smaller than the sum of its proper divisors (270548142260220).

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

131001044200020 is a wasteful number, since it uses less digits than its factorization.

131001044200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16972634 (or 16972629 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 131001044200020 its reverse (20002440100131), we get a palindrome (151003484300151).

The spelling of 131001044200020 in words is "one hundred thirty-one trillion, one billion, forty-four million, two hundred thousand, twenty".