10510205213 has 2 divisors, whose sum is σ = 10510205214. Its totient is φ = 10510205212.

The previous prime is 10510205179. The next prime is 10510205221. The reversal of 10510205213 is 31250201501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8434218244 + 2075986969 = 91838^2 + 45563^2 .

It is a cyclic number.

It is not a de Polignac number, because 10510205213 - 2¹⁶ = 10510139677 is a prime.

It is a super-2 number, since 2×10510205213² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10510205263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5255102606 + 5255102607.

It is an arithmetic number, because the mean of its divisors is an integer number (5255102607).

Almost surely, 2^10510205213 is an apocalyptic number.

It is an amenable number.

10510205213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10510205213 is an equidigital number, since it uses as much as digits as its factorization.

10510205213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 10510205213 its reverse (31250201501), we get a palindrome (41760406714).

The spelling of 10510205213 in words is "ten billion, five hundred ten million, two hundred five thousand, two hundred thirteen".