110101110011311 has 2 divisors, whose sum is σ = 110101110011312. Its totient is φ = 110101110011310.

The previous prime is 110101110011293. The next prime is 110101110011317. The reversal of 110101110011311 is 113110011101011.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 110101110011311 - 2³⁵ = 110066750272943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110101110011291 and 110101110011300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101110011317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050555005655 + 55050555005656.

It is an arithmetic number, because the mean of its divisors is an integer number (55050555005656).

Almost surely, 2^{110101110011311} is an apocalyptic number.

110101110011311 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101110011311 is an equidigital number, since it uses as much as digits as its factorization.

110101110011311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 13.

Adding to 110101110011311 its reverse (113110011101011), we get a palindrome (223211121112322).

The spelling of 110101110011311 in words is "one hundred ten trillion, one hundred one billion, one hundred ten million, eleven thousand, three hundred eleven".