131141323444410 has 288 divisors, whose sum is σ = 367145678045952. Its totient is φ = 32467351633920.

The previous prime is 131141323444343. The next prime is 131141323444433. The reversal of 131141323444410 is 14444323141131.

131141323444410 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 1 + 3 + 234 + 4 + 4 + 410 = 666.

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 143 ways as a sum of consecutive naturals, for example, 688415475 + ... + 688605945.

It is an arithmetic number, because the mean of its divisors is an integer number (1274811382104).

Almost surely, 2^{131141323444410} is an apocalyptic number.

131141323444410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141323444410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183572839022976).

131141323444410 is an abundant number, since it is smaller than the sum of its proper divisors (236004354601542).

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

131141323444410 is a wasteful number, since it uses less digits than its factorization.

131141323444410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190878 (or 190858 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 131141323444410 its reverse (14444323141131), we get a palindrome (145585646585541).

The spelling of 131141323444410 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-three million, four hundred forty-four thousand, four hundred ten".