10213312 has 28 divisors (see below), whose sum is σ = 20656296. Its totient is φ = 5008640.

The previous prime is 10213309. The next prime is 10213319. The reversal of 10213312 is 21331201.

It is a junction number, because it is equal to n+sod(n) for n = 10213292 and 10213301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1887 + ... + 4897.

Almost surely, 2^10213312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10328148).

10213312 is an abundant number, since it is smaller than the sum of its proper divisors (10442984).

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

10213312 is an equidigital number, since it uses as much as digits as its factorization.

10213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10213312 is about 3195.8272794380. The cubic root of 10213312 is about 216.9645931741.

Adding to 10213312 its reverse (21331201), we get a palindrome (31544513).

The spelling of 10213312 in words is "ten million, two hundred thirteen thousand, three hundred twelve".