213312003200 has 96 divisors (see below), whose sum is σ = 528326184960. Its totient is φ = 85101532160.

The previous prime is 213312003199. The next prime is 213312003211. The reversal of 213312003200 is 2300213312.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1138577 + ... + 1312623.

It is an arithmetic number, because the mean of its divisors is an integer number (5503397760).

Almost surely, 2^213312003200 is an apocalyptic number.

213312003200 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 213312003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264163092480).

213312003200 is an abundant number, since it is smaller than the sum of its proper divisors (315014181760).

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

213312003200 is a wasteful number, since it uses less digits than its factorization.

213312003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174454 (or 174437 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213312003200 its reverse (2300213312), we get a palindrome (215612216512).

The spelling of 213312003200 in words is "two hundred thirteen billion, three hundred twelve million, three thousand, two hundred".