131401300141200 has 960 divisors, whose sum is σ = 455179295232000. Its totient is φ = 32284041216000.

The previous prime is 131401300141127. The next prime is 131401300141219. The reversal of 131401300141200 is 2141003104131.

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 191 ways as a sum of consecutive naturals, for example, 203093199277 + ... + 203093199923.

It is an arithmetic number, because the mean of its divisors is an integer number (474145099200).

Almost surely, 2^{131401300141200} is an apocalyptic number.

131401300141200 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 131401300141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227589647616000).

131401300141200 is an abundant number, since it is smaller than the sum of its proper divisors (323777995090800).

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

131401300141200 is a wasteful number, since it uses less digits than its factorization.

131401300141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131401300141200 its reverse (2141003104131), we get a palindrome (133542303245331).

The spelling of 131401300141200 in words is "one hundred thirty-one trillion, four hundred one billion, three hundred million, one hundred forty-one thousand, two hundred".