10032124213 has 2 divisors, whose sum is σ = 10032124214. Its totient is φ = 10032124212.

The previous prime is 10032124211. The next prime is 10032124247. The reversal of 10032124213 is 31242123001.

It is a happy number.

10032124213 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9999600004 + 32524209 = 99998^2 + 5703^2 .

It is an emirp because it is prime and its reverse (31242123001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10032124213 - 2¹ = 10032124211 is a prime.

Together with 10032124211, 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 (10032124211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016062106 + 5016062107.

It is an arithmetic number, because the mean of its divisors is an integer number (5016062107).

Almost surely, 2^10032124213 is an apocalyptic number.

It is an amenable number.

10032124213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032124213 is an equidigital number, since it uses as much as digits as its factorization.

10032124213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10032124213 its reverse (31242123001), we get a palindrome (41274247214).

The spelling of 10032124213 in words is "ten billion, thirty-two million, one hundred twenty-four thousand, two hundred thirteen".