213010213200 has 240 divisors, whose sum is σ = 705938483712. Its totient is φ = 54846720000.

The previous prime is 213010213181. The next prime is 213010213211. The reversal of 213010213200 is 2312010312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213010213200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17142990 + ... + 17155410.

Almost surely, 2^213010213200 is an apocalyptic number.

213010213200 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 213010213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352969241856).

213010213200 is an abundant number, since it is smaller than the sum of its proper divisors (492928270512).

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

213010213200 is a wasteful number, since it uses less digits than its factorization.

213010213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12934 (or 12923 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213010213200 its reverse (2312010312), we get a palindrome (215322223512).

The spelling of 213010213200 in words is "two hundred thirteen billion, ten million, two hundred thirteen thousand, two hundred".