131364201600 has 384 divisors, whose sum is σ = 483988368000. Its totient is φ = 34795008000.

The previous prime is 131364201583. The next prime is 131364201641. The reversal of 131364201600 is 6102463131.

131364201600 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 642 + 0 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13041366 + ... + 13051434.

It is an arithmetic number, because the mean of its divisors is an integer number (1260386375).

Almost surely, 2^131364201600 is an apocalyptic number.

131364201600 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 131364201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241994184000).

131364201600 is an abundant number, since it is smaller than the sum of its proper divisors (352624166400).

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

131364201600 is a wasteful number, since it uses less digits than its factorization.

131364201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10253 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131364201600 its reverse (6102463131), we get a palindrome (137466664731).

The spelling of 131364201600 in words is "one hundred thirty-one billion, three hundred sixty-four million, two hundred one thousand, six hundred".