1000213000 has 32 divisors (see below), whose sum is σ = 2340500760. Its totient is φ = 400084800.

The previous prime is 1000212989. The next prime is 1000213001. The reversal of 1000213000 is 3120001.

It can be written as a sum of positive squares in 4 ways, for example, as 217444516 + 782768484 = 14746^2 + 27978^2 .

It is not an unprimeable number, because it can be changed into a prime (1000213001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 499107 + ... + 501106.

Almost surely, 2^1000213000 is an apocalyptic number.

1000213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000213000 is an abundant number, since it is smaller than the sum of its proper divisors (1340287760).

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

1000213000 is a wasteful number, since it uses less digits than its factorization.

1000213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000234 (or 1000220 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1000213000 is about 31626.1442480743. The cubic root of 1000213000 is about 1000.0709949596.

Adding to 1000213000 its reverse (3120001), we get a palindrome (1003333001).

The spelling of 1000213000 in words is "one billion, two hundred thirteen thousand".