1021330000 has 100 divisors (see below), whose sum is σ = 2498090980. Its totient is φ = 404352000.

The previous prime is 1021329997. The next prime is 1021330001. The reversal of 1021330000 is 331201.

It can be written as a sum of positive squares in 10 ways, for example, as 916636176 + 104693824 = 30276^2 + 10232^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1021330000² = 2086229937800000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1089532 + ... + 1090468.

Almost surely, 2^1021330000 is an apocalyptic number.

1021330000 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 1021330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249045490).

1021330000 is an abundant number, since it is smaller than the sum of its proper divisors (1476760980).

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

1021330000 is an equidigital number, since it uses as much as digits as its factorization.

1021330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1053 counting only the distinct ones).

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

The square root of 1021330000 is about 31958.2540198929. The cubic root of 1021330000 is about 1007.0600385551.

Adding to 1021330000 its reverse (331201), we get a palindrome (1021661201).

The spelling of 1021330000 in words is "one billion, twenty-one million, three hundred thirty thousand".