1021313000 has 64 divisors (see below), whose sum is σ = 2414739600. Its totient is φ = 404275200.

The previous prime is 1021312991. The next prime is 1021313009. The reversal of 1021313000 is 3131201.

It is an interprime number because it is at equal distance from previous prime (1021312991) and next prime (1021313009).

It can be written as a sum of positive squares in 8 ways, for example, as 101646724 + 919666276 = 10082^2 + 30326^2 .

It is not an unprimeable number, because it can be changed into a prime (1021313009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91736 + ... + 102264.

Almost surely, 2^1021313000 is an apocalyptic number.

1021313000 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 1021313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207369800).

1021313000 is an abundant number, since it is smaller than the sum of its proper divisors (1393426600).

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

1021313000 is a wasteful number, since it uses less digits than its factorization.

1021313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647 (or 10633 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1021313000 is about 31957.9880468092. The cubic root of 1021313000 is about 1007.0544510317.

Adding to 1021313000 its reverse (3131201), we get a palindrome (1024444201).

The spelling of 1021313000 in words is "one billion, twenty-one million, three hundred thirteen thousand".