10001330020 has 72 divisors (see below), whose sum is σ = 23521595832. Its totient is φ = 3568181760.

The previous prime is 10001330011. The next prime is 10001330069. The reversal of 10001330020 is 2003310001.

It can be written as a sum of positive squares in 4 ways, for example, as 2272810276 + 7728519744 = 47674^2 + 87912^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10001329979 and 10001330006.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 89272 + ... + 167248.

It is an arithmetic number, because the mean of its divisors is an integer number (326688831).

Almost surely, 2^10001330020 is an apocalyptic number.

10001330020 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 10001330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760797916).

10001330020 is an abundant number, since it is smaller than the sum of its proper divisors (13520265812).

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

10001330020 is a wasteful number, since it uses less digits than its factorization.

10001330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78061 (or 78048 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10001330020 its reverse (2003310001), we get a palindrome (12004640021).

The spelling of 10001330020 in words is "ten billion, one million, three hundred thirty thousand, twenty".