213200002312 has 96 divisors (see below), whose sum is σ = 442270699200. Its totient is φ = 95554080000.

The previous prime is 213200002297. The next prime is 213200002313.

213200002312 is nontrivially palindromic in base 10.

213200002312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213200002313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394084762 + ... + 394085302.

It is an arithmetic number, because the mean of its divisors is an integer number (4606986450).

Almost surely, 2^213200002312 is an apocalyptic number.

213200002312 is a gapful number since it is divisible by the number (22) 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 213200002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221135349600).

213200002312 is an abundant number, since it is smaller than the sum of its proper divisors (229070696888).

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

213200002312 is a wasteful number, since it uses less digits than its factorization.

213200002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1094 counting only the distinct ones).

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

It can be divided in two parts, 21320000 and 2312, that added together give a palindrome (21322312).

The spelling of 213200002312 in words is "two hundred thirteen billion, two hundred million, two thousand, three hundred twelve".