213003013200 has 120 divisors (see below), whose sum is σ = 687528706656. Its totient is φ = 56367168000.

The previous prime is 213003013199. The next prime is 213003013219. The reversal of 213003013200 is 2310300312.

It is a tau number, because it is divible by the number of its divisors (120).

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 213003013200.

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 23 ways as a sum of consecutive naturals, for example, 520291 + ... + 834690.

Almost surely, 2^213003013200 is an apocalyptic number.

213003013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213003013200 is an abundant number, since it is smaller than the sum of its proper divisors (474525693456).

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

213003013200 is a wasteful number, since it uses less digits than its factorization.

213003013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355133 (or 1355122 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 213003013200 its reverse (2310300312), we get a palindrome (215313313512).

The spelling of 213003013200 in words is "two hundred thirteen billion, three million, thirteen thousand, two hundred".