213003112300 has 108 divisors (see below), whose sum is σ = 516387015088. Its totient is φ = 76185648000.

The previous prime is 213003112271. The next prime is 213003112307. The reversal of 213003112300 is 3211300312.

It is a super-2 number, since 2×213003112300² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213003112307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 593809 + ... + 882391.

Almost surely, 2^213003112300 is an apocalyptic number.

213003112300 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 213003112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258193507544).

213003112300 is an abundant number, since it is smaller than the sum of its proper divisors (303383902788).

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

213003112300 is a wasteful number, since it uses less digits than its factorization.

213003112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288680 (or 288662 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 213003112300 its reverse (3211300312), we get a palindrome (216214412612).

The spelling of 213003112300 in words is "two hundred thirteen billion, three million, one hundred twelve thousand, three hundred".