131103327600 has 1200 divisors, whose sum is σ = 575116523520. Its totient is φ = 27956275200.

The previous prime is 131103327581. The next prime is 131103327601. The reversal of 131103327600 is 6723301131.

131103327600 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 33 + 27 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131103327601) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 203892879 + ... + 203893521.

Almost surely, 2^131103327600 is an apocalyptic number.

131103327600 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 131103327600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287558261760).

131103327600 is an abundant number, since it is smaller than the sum of its proper divisors (444013195920).

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

131103327600 is a wasteful number, since it uses less digits than its factorization.

131103327600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 131103327600 its reverse (6723301131), we get a palindrome (137826628731).

The spelling of 131103327600 in words is "one hundred thirty-one billion, one hundred three million, three hundred twenty-seven thousand, six hundred".