10072705213 has 2 divisors, whose sum is σ = 10072705214. Its totient is φ = 10072705212.

The previous prime is 10072705211. The next prime is 10072705229. The reversal of 10072705213 is 31250727001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8972257284 + 1100447929 = 94722^2 + 33173^2 .

It is a cyclic number.

It is not a de Polignac number, because 10072705213 - 2¹ = 10072705211 is a prime.

Together with 10072705211, 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 (10072705211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5036352606 + 5036352607.

It is an arithmetic number, because the mean of its divisors is an integer number (5036352607).

Almost surely, 2^10072705213 is an apocalyptic number.

It is an amenable number.

10072705213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10072705213 is an equidigital number, since it uses as much as digits as its factorization.

10072705213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 28.

The spelling of 10072705213 in words is "ten billion, seventy-two million, seven hundred five thousand, two hundred thirteen".