110311122113113 has 2 divisors, whose sum is σ = 110311122113114. Its totient is φ = 110311122113112.

The previous prime is 110311122113069. The next prime is 110311122113117. The reversal of 110311122113113 is 311311221113011.

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., 109382042036569 + 929080076544 = 10458587^2 + 963888^2 .

It is a cyclic number.

It is not a de Polignac number, because 110311122113113 - 2¹³ = 110311122104921 is a prime.

It is not a weakly prime, because it can be changed into another prime (110311122113117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55155561056556 + 55155561056557.

It is an arithmetic number, because the mean of its divisors is an integer number (55155561056557).

Almost surely, 2^{110311122113113} is an apocalyptic number.

It is an amenable number.

110311122113113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110311122113113 is an equidigital number, since it uses as much as digits as its factorization.

110311122113113 is an evil number, because the sum of its binary digits is even.

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

Adding to 110311122113113 its reverse (311311221113011), we get a palindrome (421622343226124).

The spelling of 110311122113113 in words is "one hundred ten trillion, three hundred eleven billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred thirteen".