10303133220 has 432 divisors, whose sum is σ = 35083955088. Its totient is φ = 2444083200.

The previous prime is 10303133219. The next prime is 10303133221. The reversal of 10303133220 is 2233130301.

10303133220 is a `hidden beast` number, since 1 + 0 + 30 + 313 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10303133219) and next prime (10303133221).

It can be written as a sum of positive squares in 24 ways, for example, as 56430144 + 10246703076 = 7512^2 + 101226^2 .

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 = 10303133193 and 10303133202.

It is not an unprimeable number, because it can be changed into a prime (10303133221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102011170 + ... + 102011270.

It is an arithmetic number, because the mean of its divisors is an integer number (81212859).

Almost surely, 2^10303133220 is an apocalyptic number.

10303133220 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 10303133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17541977544).

10303133220 is an abundant number, since it is smaller than the sum of its proper divisors (24780821868).

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

10303133220 is a wasteful number, since it uses less digits than its factorization.

10303133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

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

Adding to 10303133220 its reverse (2233130301), we get a palindrome (12536263521).

The spelling of 10303133220 in words is "ten billion, three hundred three million, one hundred thirty-three thousand, two hundred twenty".