131343206400 has 1152 divisors, whose sum is σ = 564651360000. Its totient is φ = 29912924160.

The previous prime is 131343206359. The next prime is 131343206411. The reversal of 131343206400 is 4602343131.

131343206400 is a `hidden beast` number, since 1 + 3 + 13 + 4 + 3 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474163062 + ... + 474163338.

It is an arithmetic number, because the mean of its divisors is an integer number (490148750).

Almost surely, 2^131343206400 is an apocalyptic number.

131343206400 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 131343206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282325680000).

131343206400 is an abundant number, since it is smaller than the sum of its proper divisors (433308153600).

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

131343206400 is an equidigital number, since it uses as much as digits as its factorization.

131343206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131343206400 its reverse (4602343131), we get a palindrome (135945549531).

The spelling of 131343206400 in words is "one hundred thirty-one billion, three hundred forty-three million, two hundred six thousand, four hundred".