10357213 has 2 divisors, whose sum is σ = 10357214. Its totient is φ = 10357212.

The previous prime is 10357211. The next prime is 10357219. The reversal of 10357213 is 31275301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5508409 + 4848804 = 2347^2 + 2202^2 .

It is a cyclic number.

It is not a de Polignac number, because 10357213 - 2¹ = 10357211 is a prime.

It is a super-3 number, since 3×10357213³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10357211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10357211) 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 as a sum of consecutive naturals, namely, 5178606 + 5178607.

It is an arithmetic number, because the mean of its divisors is an integer number (5178607).

Almost surely, 2^10357213 is an apocalyptic number.

It is an amenable number.

10357213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10357213 is an equidigital number, since it uses as much as digits as its factorization.

10357213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 10357213 is about 3218.2624193810. The cubic root of 10357213 is about 217.9788226770.

The spelling of 10357213 in words is "ten million, three hundred fifty-seven thousand, two hundred thirteen".