2111010311 has 16 divisors (see below), whose sum is σ = 2327270400. Its totient is φ = 1908089568.

The previous prime is 2111010289. The next prime is 2111010359. The reversal of 2111010311 is 1130101112.

It is a happy number.

It is not a de Polignac number, because 2111010311 - 2¹⁰ = 2111009287 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2111010292 and 2111010301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111010361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2321 + ... + 65018.

It is an arithmetic number, because the mean of its divisors is an integer number (145454400).

Almost surely, 2^2111010311 is an apocalyptic number.

2111010311 is a deficient number, since it is larger than the sum of its proper divisors (216260089).

2111010311 is a wasteful number, since it uses less digits than its factorization.

2111010311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67438.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 2111010311 is about 45945.7322392407. The cubic root of 2111010311 is about 1282.8132927669.

Adding to 2111010311 its reverse (1130101112), we get a palindrome (3241111423).

The spelling of 2111010311 in words is "two billion, one hundred eleven million, ten thousand, three hundred eleven".