213311214312 has 128 divisors (see below), whose sum is σ = 626076000000. Its totient is φ = 60536679168.

The previous prime is 213311214307. The next prime is 213311214353. The reversal of 213311214312 is 213412113312.

213311214312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1139614 + ... + 1313522.

It is an arithmetic number, because the mean of its divisors is an integer number (4891218750).

Almost surely, 2^213311214312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213311214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313038000000).

213311214312 is an abundant number, since it is smaller than the sum of its proper divisors (412764785688).

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

213311214312 is a wasteful number, since it uses less digits than its factorization.

213311214312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174088 (or 174070 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 213311214312 its reverse (213412113312), we get a palindrome (426723327624).

The spelling of 213311214312 in words is "two hundred thirteen billion, three hundred eleven million, two hundred fourteen thousand, three hundred twelve".