100111131193 has 2 divisors, whose sum is σ = 100111131194. Its totient is φ = 100111131192.

The previous prime is 100111131091. The next prime is 100111131203. The reversal of 100111131193 is 391131111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78270133824 + 21840997369 = 279768^2 + 147787^2 .

It is an emirp because it is prime and its reverse (391131111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111131193 - 2²⁹ = 99574260281 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111101193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055565596 + 50055565597.

It is an arithmetic number, because the mean of its divisors is an integer number (50055565597).

Almost surely, 2^100111131193 is an apocalyptic number.

It is an amenable number.

100111131193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111131193 is an equidigital number, since it uses as much as digits as its factorization.

100111131193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 22.

Adding to 100111131193 its reverse (391131111001), we get a palindrome (491242242194).

The spelling of 100111131193 in words is "one hundred billion, one hundred eleven million, one hundred thirty-one thousand, one hundred ninety-three".