10213000 has 64 divisors (see below), whose sum is σ = 27331200. Its totient is φ = 3499200.

The previous prime is 10212967. The next prime is 10213001. The reversal of 10213000 is 31201.

10213000 is digitally balanced in base 2 and base 8, because in such bases 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 (7).

10213000 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10213001) 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, 6271 + ... + 7729.

It is an arithmetic number, because the mean of its divisors is an integer number (427050).

Almost surely, 2^10213000 is an apocalyptic number.

10213000 is a gapful number since it is divisible by the number (10) 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 10213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665600).

10213000 is an abundant number, since it is smaller than the sum of its proper divisors (17118200).

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

10213000 is a wasteful number, since it uses less digits than its factorization.

10213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10213000 is about 3195.7784654134. The cubic root of 10213000 is about 216.9623838469.

Adding to 10213000 its reverse (31201), we get a palindrome (10244201).

The spelling of 10213000 in words is "ten million, two hundred thirteen thousand".