213000013300 has 72 divisors (see below), whose sum is σ = 471636063360. Its totient is φ = 83478969600.

The previous prime is 213000013297. The next prime is 213000013397. The reversal of 213000013300 is 3310000312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931992 + ... + 1137808.

It is an arithmetic number, because the mean of its divisors is an integer number (6550500880).

Almost surely, 2^213000013300 is an apocalyptic number.

213000013300 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 213000013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235818031680).

213000013300 is an abundant number, since it is smaller than the sum of its proper divisors (258636050060).

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

213000013300 is a wasteful number, since it uses less digits than its factorization.

213000013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206041 (or 206034 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 213000013300 its reverse (3310000312), we get a palindrome (216310013612).

The spelling of 213000013300 in words is "two hundred thirteen billion, thirteen thousand, three hundred".