10113443340 has 288 divisors, whose sum is σ = 38232746496. Its totient is φ = 1939691520.

The previous prime is 10113443339. The next prime is 10113443363. The reversal of 10113443340 is 4334431101.

10113443340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10113443340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 774304 + ... + 787256.

It is an arithmetic number, because the mean of its divisors is an integer number (132752592).

Almost surely, 2^10113443340 is an apocalyptic number.

10113443340 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 10113443340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19116373248).

10113443340 is an abundant number, since it is smaller than the sum of its proper divisors (28119303156).

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

10113443340 is a wasteful number, since it uses less digits than its factorization.

10113443340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13009 (or 12994 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10113443340 its reverse (4334431101), we get a palindrome (14447874441).

The spelling of 10113443340 in words is "ten billion, one hundred thirteen million, four hundred forty-three thousand, three hundred forty".