131303112110000 has 200 divisors, whose sum is σ = 319347478582704. Its totient is φ = 52281886720000.

The previous prime is 131303112109889. The next prime is 131303112110011. The reversal of 131303112110000 is 11211303131.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16745706080 + ... + 16745713920.

Almost surely, 2^{131303112110000} is an apocalyptic number.

131303112110000 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 131303112110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159673739291352).

131303112110000 is an abundant number, since it is smaller than the sum of its proper divisors (188044366472704).

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

131303112110000 is an equidigital number, since it uses as much as digits as its factorization.

131303112110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15289 (or 15268 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 131303112110000 its reverse (11211303131), we get a palindrome (131314323413131).

The spelling of 131303112110000 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twelve million, one hundred ten thousand".