213013204000 has 192 divisors, whose sum is σ = 539618762592. Its totient is φ = 82587648000.

The previous prime is 213013203989. The next prime is 213013204003. The reversal of 213013204000 is 402310312.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 42744735504 + 170268468496 = 206748^2 + 412636^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (213013204003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25743864 + ... + 25752136.

Almost surely, 2^213013204000 is an apocalyptic number.

213013204000 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 213013204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269809381296).

213013204000 is an abundant number, since it is smaller than the sum of its proper divisors (326605558592).

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

213013204000 is a wasteful number, since it uses less digits than its factorization.

213013204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8496 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213013204000 its reverse (402310312), we get a palindrome (213415514312).

The spelling of 213013204000 in words is "two hundred thirteen billion, thirteen million, two hundred four thousand".