213315541354344 has 256 divisors, whose sum is σ = 632301727841280. Its totient is φ = 59119820421120.

The previous prime is 213315541354337. The next prime is 213315541354387. The reversal of 213315541354344 is 443453145513312.

It is a junction number, because it is equal to n+sod(n) for n = 213315541354293 and 213315541354302.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 245472499 + ... + 246339965.

It is an arithmetic number, because the mean of its divisors is an integer number (2469928624380).

Almost surely, 2^{213315541354344} is an apocalyptic number.

213315541354344 is a gapful number since it is divisible by the number (24) 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 213315541354344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316150863920640).

213315541354344 is an abundant number, since it is smaller than the sum of its proper divisors (418986186486936).

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

213315541354344 is a wasteful number, since it uses less digits than its factorization.

213315541354344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868160 (or 868156 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 48.

Adding to 213315541354344 its reverse (443453145513312), we get a palindrome (656768686867656).

The spelling of 213315541354344 in words is "two hundred thirteen trillion, three hundred fifteen billion, five hundred forty-one million, three hundred fifty-four thousand, three hundred forty-four".