10813440000000 has 736 divisors, whose sum is σ = 39321494649216. Its totient is φ = 2621440000000.

The previous prime is 10813439999903. The next prime is 10813440000019. The reversal of 10813440000000 is 4431801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983039999995 + ... + 983040000005.

Almost surely, 2^{10813440000000} is an apocalyptic number.

10813440000000 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 10813440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19660747324608).

10813440000000 is an abundant number, since it is smaller than the sum of its proper divisors (28508054649216).

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

10813440000000 is an frugal number, since it uses more digits than its factorization.

10813440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10813440000000 its reverse (4431801), we get a palindrome (10813444431801).

The spelling of 10813440000000 in words is "ten trillion, eight hundred thirteen billion, four hundred forty million", and thus it is an aban number.