131431635775400 has 96 divisors (see below), whose sum is σ = 307078159177440. Its totient is φ = 52314889186560.

The previous prime is 131431635775369. The next prime is 131431635775417. The reversal of 131431635775400 is 4577536134131.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 23 ways as a sum of consecutive naturals, for example, 90213542 + ... + 91658858.

It is an arithmetic number, because the mean of its divisors is an integer number (3198730824765).

Almost surely, 2^{131431635775400} is an apocalyptic number.

131431635775400 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 131431635775400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153539079588720).

131431635775400 is an abundant number, since it is smaller than the sum of its proper divisors (175646523402040).

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

131431635775400 is a wasteful number, since it uses less digits than its factorization.

131431635775400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447563 (or 1447554 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 50.

The spelling of 131431635775400 in words is "one hundred thirty-one trillion, four hundred thirty-one billion, six hundred thirty-five million, seven hundred seventy-five thousand, four hundred".