213344410100 has 36 divisors (see below), whose sum is σ = 463610496300. Its totient is φ = 85217372160.

The previous prime is 213344410093. The next prime is 213344410121. The reversal of 213344410100 is 1014443312.

213344410100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 38615394064 + 174729016036 = 196508^2 + 418006^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1433645 + ... + 1575444.

Almost surely, 2^213344410100 is an apocalyptic number.

213344410100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213344410100 is an abundant number, since it is smaller than the sum of its proper divisors (250266086200).

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

213344410100 is a wasteful number, since it uses less digits than its factorization.

213344410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009812 (or 3009805 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 213344410100 its reverse (1014443312), we get a palindrome (214358853412).

The spelling of 213344410100 in words is "two hundred thirteen billion, three hundred forty-four million, four hundred ten thousand, one hundred".