10772668213 has 2 divisors, whose sum is σ = 10772668214. Its totient is φ = 10772668212.

The previous prime is 10772668163. The next prime is 10772668219. The reversal of 10772668213 is 31286627701.

10772668213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10761365169 + 11303044 = 103737^2 + 3362^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10772668213 is a prime.

It is a super-2 number, since 2×10772668213² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10772668213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10772668219) 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, 5386334106 + 5386334107.

It is an arithmetic number, because the mean of its divisors is an integer number (5386334107).

Almost surely, 2^10772668213 is an apocalyptic number.

It is an amenable number.

10772668213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10772668213 is an equidigital number, since it uses as much as digits as its factorization.

10772668213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 10772668213 in words is "ten billion, seven hundred seventy-two million, six hundred sixty-eight thousand, two hundred thirteen".