10010133320 has 128 divisors (see below), whose sum is σ = 25569354240. Its totient is φ = 3494999040.

The previous prime is 10010133311. The next prime is 10010133323. The reversal of 10010133320 is 2333101001.

It is a junction number, because it is equal to n+sod(n) for n = 10010133295 and 10010133304.

It is not an unprimeable number, because it can be changed into a prime (10010133323) by changing a digit.

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, 1091474 + ... + 1100606.

It is an arithmetic number, because the mean of its divisors is an integer number (199760580).

Almost surely, 2^10010133320 is an apocalyptic number.

10010133320 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 10010133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12784677120).

10010133320 is an abundant number, since it is smaller than the sum of its proper divisors (15559220920).

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

10010133320 is a wasteful number, since it uses less digits than its factorization.

10010133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9251 counting only the distinct ones).

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

Adding to 10010133320 its reverse (2333101001), we get a palindrome (12343234321).

The spelling of 10010133320 in words is "ten billion, ten million, one hundred thirty-three thousand, three hundred twenty".