111131102213113 has 2 divisors, whose sum is σ = 111131102213114. Its totient is φ = 111131102213112.

The previous prime is 111131102213093. The next prime is 111131102213381. The reversal of 111131102213113 is 311312201131111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70511422763664 + 40619679449449 = 8397108^2 + 6373357^2 .

It is a cyclic number.

It is not a de Polignac number, because 111131102213113 - 2⁴¹ = 108932078957561 is a prime.

It is not a weakly prime, because it can be changed into another prime (111131112213113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55565551106556 + 55565551106557.

It is an arithmetic number, because the mean of its divisors is an integer number (55565551106557).

Almost surely, 2^{111131102213113} is an apocalyptic number.

It is an amenable number.

111131102213113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111131102213113 is an equidigital number, since it uses as much as digits as its factorization.

111131102213113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 111131102213113 its reverse (311312201131111), we get a palindrome (422443303344224).

The spelling of 111131102213113 in words is "one hundred eleven trillion, one hundred thirty-one billion, one hundred two million, two hundred thirteen thousand, one hundred thirteen".