1000213200 has 360 divisors, whose sum is σ = 4177659200. Its totient is φ = 216483840.

The previous prime is 1000213199. The next prime is 1000213237. The reversal of 1000213200 is 23120001.

It is a happy number.

1000213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 477756 + ... + 479844.

Almost surely, 2^1000213200 is an apocalyptic number.

1000213200 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 1000213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088829600).

1000213200 is an abundant number, since it is smaller than the sum of its proper divisors (3177446000).

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

1000213200 is a wasteful number, since it uses less digits than its factorization.

1000213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000213200 is about 31626.1474100150. The cubic root of 1000213200 is about 1000.0710616168.

Adding to 1000213200 its reverse (23120001), we get a palindrome (1023333201).

The spelling of 1000213200 in words is "one billion, two hundred thirteen thousand, two hundred".