213313244144 has 160 divisors (see below), whose sum is σ = 555251128320. Its totient is φ = 76669286400.

The previous prime is 213313244107. The next prime is 213313244197. The reversal of 213313244144 is 441442313312.

It is a self number, because there is not a number n which added to its sum of digits gives 213313244144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36529577 + ... + 36535415.

It is an arithmetic number, because the mean of its divisors is an integer number (3470319552).

Almost surely, 2^213313244144 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 213313244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277625564160).

213313244144 is an abundant number, since it is smaller than the sum of its proper divisors (341937884176).

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

213313244144 is a wasteful number, since it uses less digits than its factorization.

213313244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159 (or 8153 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 213313244144 its reverse (441442313312), we get a palindrome (654755557456).

The spelling of 213313244144 in words is "two hundred thirteen billion, three hundred thirteen million, two hundred forty-four thousand, one hundred forty-four".