213033330312 has 128 divisors (see below), whose sum is σ = 597017088000. Its totient is φ = 62777721600.

The previous prime is 213033330299. The next prime is 213033330319.

213033330312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213033330319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23428887 + ... + 23437977.

It is an arithmetic number, because the mean of its divisors is an integer number (4664196000).

Almost surely, 2^213033330312 is an apocalyptic number.

213033330312 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 213033330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298508544000).

213033330312 is an abundant number, since it is smaller than the sum of its proper divisors (383983757688).

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

213033330312 is a wasteful number, since it uses less digits than its factorization.

213033330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11547 (or 11543 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 213033 and 330312, that added together give a palindrome (543345).

The spelling of 213033330312 in words is "two hundred thirteen billion, thirty-three million, three hundred thirty thousand, three hundred twelve".