110110123313 has 2 divisors, whose sum is σ = 110110123314. Its totient is φ = 110110123312.

The previous prime is 110110123271. The next prime is 110110123441. The reversal of 110110123313 is 313321011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110016265969 + 93857344 = 331687^2 + 9688^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110123313 - 2¹⁶ = 110110057777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110110123291 and 110110123300.

It is not a weakly prime, because it can be changed into another prime (110110123913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055061656 + 55055061657.

It is an arithmetic number, because the mean of its divisors is an integer number (55055061657).

Almost surely, 2^110110123313 is an apocalyptic number.

It is an amenable number.

110110123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110123313 is an equidigital number, since it uses as much as digits as its factorization.

110110123313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 110110123313 its reverse (313321011011), we get a palindrome (423431134324).

The spelling of 110110123313 in words is "one hundred ten billion, one hundred ten million, one hundred twenty-three thousand, three hundred thirteen".