10013213 has 8 divisors (see below), whose sum is σ = 11562432. Its totient is φ = 8493696.

The previous prime is 10013147. The next prime is 10013219. The reversal of 10013213 is 31231001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10013213 - 2¹⁴ = 9996829 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10013194 and 10013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6695 + ... + 8052.

It is an arithmetic number, because the mean of its divisors is an integer number (1445304).

Almost surely, 2^10013213 is an apocalyptic number.

It is an amenable number.

10013213 is a deficient number, since it is larger than the sum of its proper divisors (1549219).

10013213 is an equidigital number, since it uses as much as digits as its factorization.

10013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14851.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 10013213 is about 3164.3661292587. The cubic root of 10013213 is about 215.5383157270.

Adding to 10013213 its reverse (31231001), we get a palindrome (41244214).

The spelling of 10013213 in words is "ten million, thirteen thousand, two hundred thirteen".