10033213320 has 192 divisors, whose sum is σ = 35973428400. Its totient is φ = 2409431040.

The previous prime is 10033213303. The next prime is 10033213331. The reversal of 10033213320 is 2331233001.

10033213320 is a `hidden beast` number, since 1 + 0 + 0 + 332 + 1 + 332 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 401361156 + 9631852164 = 20034^2 + 98142^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10033213293 and 10033213302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165736 + ... + 218024.

Almost surely, 2^10033213320 is an apocalyptic number.

10033213320 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 10033213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17986714200).

10033213320 is an abundant number, since it is smaller than the sum of its proper divisors (25940215080).

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

10033213320 is a wasteful number, since it uses less digits than its factorization.

10033213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52360 (or 52353 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10033213320 its reverse (2331233001), we get a palindrome (12364446321).

The spelling of 10033213320 in words is "ten billion, thirty-three million, two hundred thirteen thousand, three hundred twenty".