213244343442312 has 1024 divisors, whose sum is σ = 709078745088000. Its totient is φ = 51903135313920.

The previous prime is 213244343442281. The next prime is 213244343442391.

213244343442312 is nontrivially palindromic in base 10.

213244343442312 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 (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 135737964487 + ... + 135737966057.

It is an arithmetic number, because the mean of its divisors is an integer number (692459712000).

Almost surely, 2^{213244343442312} 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 213244343442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354539372544000).

213244343442312 is an abundant number, since it is smaller than the sum of its proper divisors (495834401645688).

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

213244343442312 is a wasteful number, since it uses less digits than its factorization.

213244343442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2222 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The spelling of 213244343442312 in words is "two hundred thirteen trillion, two hundred forty-four billion, three hundred forty-three million, four hundred forty-two thousand, three hundred twelve".