131343242100000 has 576 divisors, whose sum is σ = 498440099791872. Its totient is φ = 29659570560000.

The previous prime is 131343242099977. The next prime is 131343242100071. The reversal of 131343242100000 is 1242343131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173923227 + ... + 174676773.

It is an arithmetic number, because the mean of its divisors is an integer number (865347395472).

Almost surely, 2^{131343242100000} is an apocalyptic number.

131343242100000 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 131343242100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249220049895936).

131343242100000 is an abundant number, since it is smaller than the sum of its proper divisors (367096857691872).

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

131343242100000 is an frugal number, since it uses more digits than its factorization.

131343242100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753675 (or 753647 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131343242100000 its reverse (1242343131), we get a palindrome (131344484443131).

The spelling of 131343242100000 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred forty-two million, one hundred thousand".