2001213000 has 512 divisors, whose sum is σ = 7547904000. Its totient is φ = 488851200.

The previous prime is 2001212999. The next prime is 2001213007. The reversal of 2001213000 is 3121002.

It is a happy number.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2001213007) 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 127 ways as a sum of consecutive naturals, for example, 24110959 + ... + 24111041.

It is an arithmetic number, because the mean of its divisors is an integer number (14742000).

Almost surely, 2^2001213000 is an apocalyptic number.

2001213000 is a gapful number since it is divisible by the number (20) 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 2001213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952000).

2001213000 is an abundant number, since it is smaller than the sum of its proper divisors (5546691000).

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

2001213000 is a wasteful number, since it uses less digits than its factorization.

2001213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

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

The square root of 2001213000 is about 44734.9192466020. The cubic root of 2001213000 is about 1260.1757124564.

Adding to 2001213000 its reverse (3121002), we get a palindrome (2004334002).

The spelling of 2001213000 in words is "two billion, one million, two hundred thirteen thousand".