213112111300 has 72 divisors (see below), whose sum is σ = 504736132320. Its totient is φ = 77458195200.

The previous prime is 213112111291. The next prime is 213112111307. The reversal of 213112111300 is 3111211312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213112111307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2305371 + ... + 2396029.

It is an arithmetic number, because the mean of its divisors is an integer number (7010224060).

Almost surely, 2^213112111300 is an apocalyptic number.

213112111300 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 213112111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252368066160).

213112111300 is an abundant number, since it is smaller than the sum of its proper divisors (291624021020).

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

213112111300 is a wasteful number, since it uses less digits than its factorization.

213112111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92821 (or 92814 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 213112111300 its reverse (3111211312), we get a palindrome (216223322612).

The spelling of 213112111300 in words is "two hundred thirteen billion, one hundred twelve million, one hundred eleven thousand, three hundred".