213313000 has 128 divisors (see below), whose sum is σ = 535392000. Its totient is φ = 79315200.

The previous prime is 213312977. The next prime is 213313007. The reversal of 213313000 is 313312.

It is not an unprimeable number, because it can be changed into a prime (213313007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1956946 + ... + 1957054.

It is an arithmetic number, because the mean of its divisors is an integer number (4182750).

Almost surely, 2^213313000 is an apocalyptic number.

213313000 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 213313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267696000).

213313000 is an abundant number, since it is smaller than the sum of its proper divisors (322079000).

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

213313000 is a wasteful number, since it uses less digits than its factorization.

213313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

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

The square root of 213313000 is about 14605.2387861342. The cubic root of 213313000 is about 597.5016485427.

Adding to 213313000 its reverse (313312), we get a palindrome (213626312).

The spelling of 213313000 in words is "two hundred thirteen million, three hundred thirteen thousand".