213344121100110 has 512 divisors, whose sum is σ = 710553487085568. Its totient is φ = 39561540894720.

The previous prime is 213344121100087. The next prime is 213344121100111. The reversal of 213344121100110 is 11001121443312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213344121100111) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 173832774 + ... + 175055766.

It is an arithmetic number, because the mean of its divisors is an integer number (1387799779464).

Almost surely, 2^{213344121100110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213344121100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355276743542784).

213344121100110 is an abundant number, since it is smaller than the sum of its proper divisors (497209365985458).

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

213344121100110 is a wasteful number, since it uses less digits than its factorization.

213344121100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223228.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 213344121100110 its reverse (11001121443312), we get a palindrome (224345242543422).

The spelling of 213344121100110 in words is "two hundred thirteen trillion, three hundred forty-four billion, one hundred twenty-one million, one hundred thousand, one hundred ten".