213002313300 has 324 divisors, whose sum is σ = 776980582560. Its totient is φ = 47797827840.

The previous prime is 213002313299. The next prime is 213002313361. The reversal of 213002313300 is 3313200312.

213002313300 is a `hidden beast` number, since 2 + 1 + 300 + 2 + 31 + 330 + 0 = 666.

213002313300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 281376522 + ... + 281377278.

Almost surely, 2^213002313300 is an apocalyptic number.

213002313300 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 213002313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388490291280).

213002313300 is an abundant number, since it is smaller than the sum of its proper divisors (563978269260).

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

213002313300 is a wasteful number, since it uses less digits than its factorization.

213002313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213002313300 its reverse (3313200312), we get a palindrome (216315513612).

The spelling of 213002313300 in words is "two hundred thirteen billion, two million, three hundred thirteen thousand, three hundred".