105213766813 has 2 divisors, whose sum is σ = 105213766814. Its totient is φ = 105213766812.

The previous prime is 105213766733. The next prime is 105213766829. The reversal of 105213766813 is 318667312501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91171990809 + 14041776004 = 301947^2 + 118498^2 .

It is an emirp because it is prime and its reverse (318667312501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105213766813 is a prime.

It is a super-2 number, since 2×105213766813² (a number of 23 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 105213766813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105213766213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52606883406 + 52606883407.

It is an arithmetic number, because the mean of its divisors is an integer number (52606883407).

Almost surely, 2^105213766813 is an apocalyptic number.

It is an amenable number.

105213766813 is a deficient number, since it is larger than the sum of its proper divisors (1).

105213766813 is an equidigital number, since it uses as much as digits as its factorization.

105213766813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 105213766813 in words is "one hundred five billion, two hundred thirteen million, seven hundred sixty-six thousand, eight hundred thirteen".