21000213000 has 384 divisors, whose sum is σ = 76862822400. Its totient is φ = 5140800000.

The previous prime is 21000212993. The next prime is 21000213019. The reversal of 21000213000 is 31200012.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27962625 + ... + 27963375.

It is an arithmetic number, because the mean of its divisors is an integer number (200163600).

Almost surely, 2^21000213000 is an apocalyptic number.

21000213000 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 21000213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38431411200).

21000213000 is an abundant number, since it is smaller than the sum of its proper divisors (55862609400).

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

21000213000 is a wasteful number, since it uses less digits than its factorization.

21000213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1013 counting only the distinct ones).

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

Adding to 21000213000 its reverse (31200012), we get a palindrome (21031413012).

The spelling of 21000213000 in words is "twenty-one billion, two hundred thirteen thousand".