3311201100311 has 24 divisors (see below), whose sum is σ = 3664416712320. Its totient is φ = 2989775318400.

The previous prime is 3311201100307. The next prime is 3311201100331. The reversal of 3311201100311 is 1130011021133.

3311201100311 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3311201100311 - 2² = 3311201100307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3311201100311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311201100301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978650 + ... + 2753208.

It is an arithmetic number, because the mean of its divisors is an integer number (152684029680).

Almost surely, 2^{3311201100311} is an apocalyptic number.

3311201100311 is a deficient number, since it is larger than the sum of its proper divisors (353215612009).

3311201100311 is a wasteful number, since it uses less digits than its factorization.

3311201100311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774827 (or 1774814 counting only the distinct ones).

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

Adding to 3311201100311 its reverse (1130011021133), we get a palindrome (4441212121444).

The spelling of 3311201100311 in words is "three trillion, three hundred eleven billion, two hundred one million, one hundred thousand, three hundred eleven".