213301000 has 64 divisors (see below), whose sum is σ = 544527360. Its totient is φ = 77560000.

The previous prime is 213300961. The next prime is 213301001. The reversal of 213301000 is 103312.

213301000 is digitally balanced in base 2, 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 (10).

It is not an unprimeable number, because it can be changed into a prime (213301001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305 + ... + 20695.

It is an arithmetic number, because the mean of its divisors is an integer number (8508240).

Almost surely, 2^213301000 is an apocalyptic number.

213301000 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 213301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272263680).

213301000 is an abundant number, since it is smaller than the sum of its proper divisors (331226360).

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

213301000 is a wasteful number, since it uses less digits than its factorization.

213301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19423 (or 19409 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 213301000 is about 14604.8279688602. The cubic root of 213301000 is about 597.4904441088.

Adding to 213301000 its reverse (103312), we get a palindrome (213404312).

The spelling of 213301000 in words is "two hundred thirteen million, three hundred one thousand".