111113345566801 has 2 divisors, whose sum is σ = 111113345566802. Its totient is φ = 111113345566800.

The previous prime is 111113345566709. The next prime is 111113345566889. The reversal of 111113345566801 is 108665543311111.

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., 105989804668225 + 5123540898576 = 10295135^2 + 2263524^2 .

It is a cyclic number.

It is not a de Polignac number, because 111113345566801 - 2¹³ = 111113345558609 is a prime.

It is not a weakly prime, because it can be changed into another prime (111113345566901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55556672783400 + 55556672783401.

It is an arithmetic number, because the mean of its divisors is an integer number (55556672783401).

Almost surely, 2^{111113345566801} is an apocalyptic number.

It is an amenable number.

111113345566801 is a deficient number, since it is larger than the sum of its proper divisors (1).

111113345566801 is an equidigital number, since it uses as much as digits as its factorization.

111113345566801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 259200, while the sum is 46.

Adding to 111113345566801 its reverse (108665543311111), we get a palindrome (219778888877912).

The spelling of 111113345566801 in words is "one hundred eleven trillion, one hundred thirteen billion, three hundred forty-five million, five hundred sixty-six thousand, eight hundred one".