10111003320 has 256 divisors, whose sum is σ = 35466439680. Its totient is φ = 2280960000.

The previous prime is 10111003313. The next prime is 10111003327. The reversal of 10111003320 is 2330011101.

10111003320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10111003313) and next prime (10111003327).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10111003296 and 10111003305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111003327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1118820 + ... + 1127820.

It is an arithmetic number, because the mean of its divisors is an integer number (138540780).

Almost surely, 2^10111003320 is an apocalyptic number.

10111003320 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 10111003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17733219840).

10111003320 is an abundant number, since it is smaller than the sum of its proper divisors (25355436360).

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

10111003320 is a wasteful number, since it uses less digits than its factorization.

10111003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9086 (or 9082 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10111003320 its reverse (2330011101), we get a palindrome (12441014421).

The spelling of 10111003320 in words is "ten billion, one hundred eleven million, three thousand, three hundred twenty".