213013012300 has 72 divisors (see below), whose sum is σ = 505882121472. Its totient is φ = 77210088000.

The previous prime is 213013012273. The next prime is 213013012343. The reversal of 213013012300 is 3210310312.

213013012300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×213013012300⁴ (a number of 46 digits) contains 4444 as substring.

It is an unprimeable number.

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, 30769 + ... + 653431.

It is an arithmetic number, because the mean of its divisors is an integer number (7026140576).

Almost surely, 2^213013012300 is an apocalyptic number.

213013012300 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 213013012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252941060736).

213013012300 is an abundant number, since it is smaller than the sum of its proper divisors (292869109172).

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

213013012300 is a wasteful number, since it uses less digits than its factorization.

213013012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622999 (or 622992 counting only the distinct ones).

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

Adding to 213013012300 its reverse (3210310312), we get a palindrome (216223322612).

The spelling of 213013012300 in words is "two hundred thirteen billion, thirteen million, twelve thousand, three hundred".