213112343434100 has 144 divisors (see below), whose sum is σ = 508501593815040. Its totient is φ = 76880033395200.

The previous prime is 213112343434091. The next prime is 213112343434169. The reversal of 213112343434100 is 1434343211312.

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, 2525314706 + ... + 2525399094.

It is an arithmetic number, because the mean of its divisors is an integer number (3531261068160).

Almost surely, 2^{213112343434100} is an apocalyptic number.

213112343434100 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 213112343434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254250796907520).

213112343434100 is an abundant number, since it is smaller than the sum of its proper divisors (295389250380940).

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

213112343434100 is a wasteful number, since it uses less digits than its factorization.

213112343434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102618 (or 102611 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 213112343434100 its reverse (1434343211312), we get a palindrome (214546686645412).

The spelling of 213112343434100 in words is "two hundred thirteen trillion, one hundred twelve billion, three hundred forty-three million, four hundred thirty-four thousand, one hundred".