311100000110111 has 16 divisors (see below), whose sum is σ = 322503134553600. Its totient is φ = 299897379650880.

The previous prime is 311100000110083. The next prime is 311100000110131. The reversal of 311100000110111 is 111011000001113.

It is a cyclic number.

It is not a de Polignac number, because 311100000110111 - 2⁶ = 311100000110047 is a prime.

It is a super-2 number, since 2×311100000110111² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311100000110092 and 311100000110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311100000110131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17828171 + ... + 30660131.

It is an arithmetic number, because the mean of its divisors is an integer number (20156445909600).

Almost surely, 2^{311100000110111} is an apocalyptic number.

311100000110111 is a deficient number, since it is larger than the sum of its proper divisors (11403134443489).

311100000110111 is a wasteful number, since it uses less digits than its factorization.

311100000110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12839774.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 311100000110111 its reverse (111011000001113), we get a palindrome (422111000111224).

The spelling of 311100000110111 in words is "three hundred eleven trillion, one hundred billion, one hundred ten thousand, one hundred eleven".