131112001320000 has 280 divisors, whose sum is σ = 435992642644416. Its totient is φ = 34761095424000.

The previous prime is 131112001319951. The next prime is 131112001320049. The reversal of 131112001320000 is 23100211131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131112001319951) and next prime (131112001320049).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 17602197 + ... + 23917803.

Almost surely, 2^{131112001320000} is an apocalyptic number.

131112001320000 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 131112001320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217996321322208).

131112001320000 is an abundant number, since it is smaller than the sum of its proper divisors (304880641324416).

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

131112001320000 is an equidigital number, since it uses as much as digits as its factorization.

131112001320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315815 (or 6315790 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131112001320000 its reverse (23100211131), we get a palindrome (131135101531131).

The spelling of 131112001320000 in words is "one hundred thirty-one trillion, one hundred twelve billion, one million, three hundred twenty thousand".