311111100002001 has 64 divisors (see below), whose sum is σ = 450677604706560. Its totient is φ = 189764941639680.

The previous prime is 311111100001979. The next prime is 311111100002033. The reversal of 311111100002001 is 100200001111113.

It is not a de Polignac number, because 311111100002001 - 2⁷ = 311111100001873 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311111100002201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27480879421 + ... + 27480890741.

It is an arithmetic number, because the mean of its divisors is an integer number (7041837573540).

Almost surely, 2^{311111100002001} is an apocalyptic number.

It is an amenable number.

311111100002001 is a deficient number, since it is larger than the sum of its proper divisors (139566504704559).

311111100002001 is a wasteful number, since it uses less digits than its factorization.

311111100002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22786.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 311111100002001 its reverse (100200001111113), we get a palindrome (411311101113114).

The spelling of 311111100002001 in words is "three hundred eleven trillion, one hundred eleven billion, one hundred million, two thousand, one".