1001113144000 has 224 divisors, whose sum is σ = 2553627323520. Its totient is φ = 388495872000.

The previous prime is 1001113143977. The next prime is 1001113144001. The reversal of 1001113144000 is 4413111001.

1001113144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1001113144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106259290 + ... + 106268710.

It is an arithmetic number, because the mean of its divisors is an integer number (11400121980).

Almost surely, 2^{1001113144000} is an apocalyptic number.

1001113144000 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 1001113144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276813661760).

1001113144000 is an abundant number, since it is smaller than the sum of its proper divisors (1552514179520).

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

1001113144000 is an equidigital number, since it uses as much as digits as its factorization.

1001113144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9844 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1001113144000 its reverse (4413111001), we get a palindrome (1005526255001).

The spelling of 1001113144000 in words is "one trillion, one billion, one hundred thirteen million, one hundred forty-four thousand".