213444210000320 has 112 divisors (see below), whose sum is σ = 547582261691808. Its totient is φ = 78778349260800.

The previous prime is 213444210000313. The next prime is 213444210000323. The reversal of 213444210000320 is 23000012444312.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 213444210000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213444210000323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52706 + ... + 20661345.

It is an arithmetic number, because the mean of its divisors is an integer number (4889127336534).

Almost surely, 2^{213444210000320} is an apocalyptic number.

213444210000320 is a gapful number since it is divisible by the number (20) 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 213444210000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273791130845904).

213444210000320 is an abundant number, since it is smaller than the sum of its proper divisors (334138051691488).

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

213444210000320 is a wasteful number, since it uses less digits than its factorization.

213444210000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20716558 (or 20716548 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 213444210000320 its reverse (23000012444312), we get a palindrome (236444222444632).

The spelling of 213444210000320 in words is "two hundred thirteen trillion, four hundred forty-four billion, two hundred ten million, three hundred twenty", and thus it is an aban number.