10213300 has 36 divisors (see below), whose sum is σ = 22390060. Its totient is φ = 4043520.

The previous prime is 10213289. The next prime is 10213309. The reversal of 10213300 is 331201.

It can be written as a sum of positive squares in 6 ways, for example, as 996004 + 9217296 = 998^2 + 3036^2 .

It is a super-2 number, since 2×10213300² = 208622993780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10432 + ... + 11368.

Almost surely, 2^10213300 is an apocalyptic number.

10213300 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 10213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195030).

10213300 is an abundant number, since it is smaller than the sum of its proper divisors (12176760).

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

10213300 is a wasteful number, since it uses less digits than its factorization.

10213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1053 counting only the distinct ones).

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

The square root of 10213300 is about 3195.8254019893. The cubic root of 10213300 is about 216.9645082008.

Adding to 10213300 its reverse (331201), we get a palindrome (10544501).

The spelling of 10213300 in words is "ten million, two hundred thirteen thousand, three hundred".