110111131313 has 2 divisors, whose sum is σ = 110111131314. Its totient is φ = 110111131312.

The previous prime is 110111131283. The next prime is 110111131343. The reversal of 110111131313 is 313131111011.

It is a balanced prime because it is at equal distance from previous prime (110111131283) and next prime (110111131343).

It can be written as a sum of positive squares in only one way, i.e., 82750001569 + 27361129744 = 287663^2 + 165412^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111131313 - 2⁸ = 110111131057 is a prime.

It is a super-2 number, since 2×110111131313² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110111131291 and 110111131300.

It is not a weakly prime, because it can be changed into another prime (110111131343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055565656 + 55055565657.

It is an arithmetic number, because the mean of its divisors is an integer number (55055565657).

Almost surely, 2^110111131313 is an apocalyptic number.

It is an amenable number.

110111131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111131313 is an equidigital number, since it uses as much as digits as its factorization.

110111131313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 110111131313 its reverse (313131111011), we get a palindrome (423242242324).

The spelling of 110111131313 in words is "one hundred ten billion, one hundred eleven million, one hundred thirty-one thousand, three hundred thirteen".