213102000 has 120 divisors (see below), whose sum is σ = 744357120. Its totient is φ = 56822400.

The previous prime is 213101983. The next prime is 213102013. The reversal of 213102000 is 201312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 3.

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, 12081 + ... + 23919.

It is an arithmetic number, because the mean of its divisors is an integer number (6202976).

Almost surely, 2^213102000 is an apocalyptic number.

213102000 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 213102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372178560).

213102000 is an abundant number, since it is smaller than the sum of its proper divisors (531255120).

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

213102000 is a wasteful number, since it uses less digits than its factorization.

213102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11868 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 213102000 is about 14598.0135634955. The cubic root of 213102000 is about 597.3045759478.

Adding to 213102000 its reverse (201312), we get a palindrome (213303312).

The spelling of 213102000 in words is "two hundred thirteen million, one hundred two thousand".