1140131101312 has 128 divisors (see below), whose sum is σ = 2641676457600. Its totient is φ = 480018493440.

The previous prime is 1140131101301. The next prime is 1140131101331. The reversal of 1140131101312 is 2131011310411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1140131101312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45297243 + ... + 45322405.

It is an arithmetic number, because the mean of its divisors is an integer number (20638097325).

Almost surely, 2^{1140131101312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140131101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320838228800).

1140131101312 is an abundant number, since it is smaller than the sum of its proper divisors (1501545356288).

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

1140131101312 is an equidigital number, since it uses as much as digits as its factorization.

1140131101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26074 (or 26062 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1140131101312 its reverse (2131011310411), we get a palindrome (3271142411723).

The spelling of 1140131101312 in words is "one trillion, one hundred forty billion, one hundred thirty-one million, one hundred one thousand, three hundred twelve".