213444413030300 has 144 divisors (see below), whose sum is σ = 470883458529792. Its totient is φ = 83966505369600.

The previous prime is 213444413030293. The next prime is 213444413030327. The reversal of 213444413030300 is 3030314444312.

213444413030300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3376665695 + ... + 3376728905.

It is an arithmetic number, because the mean of its divisors is an integer number (3270024017568).

Almost surely, 2^{213444413030300} is an apocalyptic number.

213444413030300 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 213444413030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235441729264896).

213444413030300 is an abundant number, since it is smaller than the sum of its proper divisors (257439045499492).

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

213444413030300 is a wasteful number, since it uses less digits than its factorization.

213444413030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65148 (or 65141 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 213444413030300 its reverse (3030314444312), we get a palindrome (216474727474612).

The spelling of 213444413030300 in words is "two hundred thirteen trillion, four hundred forty-four billion, four hundred thirteen million, thirty thousand, three hundred".