131102441423200 has 288 divisors, whose sum is σ = 352555373136960. Its totient is φ = 47310190387200.

The previous prime is 131102441423189. The next prime is 131102441423231. The reversal of 131102441423200 is 2324144201131.

It is a happy number.

131102441423200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98942661 + ... + 100258939.

It is an arithmetic number, because the mean of its divisors is an integer number (1224150601170).

Almost surely, 2^{131102441423200} is an apocalyptic number.

131102441423200 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 131102441423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176277686568480).

131102441423200 is an abundant number, since it is smaller than the sum of its proper divisors (221452931713760).

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

131102441423200 is a wasteful number, since it uses less digits than its factorization.

131102441423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316530 (or 1316517 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131102441423200 its reverse (2324144201131), we get a palindrome (133426585624331).

The spelling of 131102441423200 in words is "one hundred thirty-one trillion, one hundred two billion, four hundred forty-one million, four hundred twenty-three thousand, two hundred".