100511776213 has 2 divisors, whose sum is σ = 100511776214. Its totient is φ = 100511776212.

The previous prime is 100511776187. The next prime is 100511776223. The reversal of 100511776213 is 312677115001.

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., 94235492484 + 6276283729 = 306978^2 + 79223^2 .

It is an emirp because it is prime and its reverse (312677115001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100511776213 - 2¹⁷ = 100511645141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100511776223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50255888106 + 50255888107.

It is an arithmetic number, because the mean of its divisors is an integer number (50255888107).

Almost surely, 2^100511776213 is an apocalyptic number.

It is an amenable number.

100511776213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100511776213 is an equidigital number, since it uses as much as digits as its factorization.

100511776213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 100511776213 in words is "one hundred billion, five hundred eleven million, seven hundred seventy-six thousand, two hundred thirteen".