131055541200444 has 96 divisors (see below), whose sum is σ = 354543122497536. Its totient is φ = 36902532461760.

The previous prime is 131055541200431. The next prime is 131055541200457. The reversal of 131055541200444 is 444002145550131.

It is an interprime number because it is at equal distance from previous prime (131055541200431) and next prime (131055541200457).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10845879 + ... + 19487025.

It is an arithmetic number, because the mean of its divisors is an integer number (3693157526016).

Almost surely, 2^{131055541200444} is an apocalyptic number.

131055541200444 is a gapful number since it is divisible by the number (14) 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 131055541200444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177271561248768).

131055541200444 is an abundant number, since it is smaller than the sum of its proper divisors (223487581297092).

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

131055541200444 is a wasteful number, since it uses less digits than its factorization.

131055541200444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8643775 (or 8643773 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 131055541200444 its reverse (444002145550131), we get a palindrome (575057686750575).

The spelling of 131055541200444 in words is "one hundred thirty-one trillion, fifty-five billion, five hundred forty-one million, two hundred thousand, four hundred forty-four".