10011000033320 has 192 divisors, whose sum is σ = 27123842027520. Its totient is φ = 3278373120000.

The previous prime is 10011000033319. The next prime is 10011000033347. The reversal of 10011000033320 is 2333000011001.

It is a super-2 number, since 2×10011000033320² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011000033295 and 10011000033304.

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 47 ways as a sum of consecutive naturals, for example, 9094745 + ... + 10135895.

It is an arithmetic number, because the mean of its divisors is an integer number (141270010560).

Almost surely, 2^{10011000033320} is an apocalyptic number.

10011000033320 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 10011000033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561921013760).

10011000033320 is an abundant number, since it is smaller than the sum of its proper divisors (17112841994200).

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

10011000033320 is a wasteful number, since it uses less digits than its factorization.

10011000033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041268 (or 1041223 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10011000033320 its reverse (2333000011001), we get a palindrome (12344000044321).

The spelling of 10011000033320 in words is "ten trillion, eleven billion, thirty-three thousand, three hundred twenty".