2100111331 has 2 divisors, whose sum is σ = 2100111332. Its totient is φ = 2100111330.

The previous prime is 2100111329. The next prime is 2100111361. The reversal of 2100111331 is 1331110012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2100111331 - 2¹ = 2100111329 is a prime.

It is a super-2 number, since 2×2100111331² = 8820935205189183122, which contains 22 as substring.

Together with 2100111329, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2100111361) 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 as a sum of consecutive naturals, namely, 1050055665 + 1050055666.

It is an arithmetic number, because the mean of its divisors is an integer number (1050055666).

Almost surely, 2^2100111331 is an apocalyptic number.

2100111331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100111331 is an equidigital number, since it uses as much as digits as its factorization.

2100111331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2100111331 is about 45826.9716542562. The cubic root of 2100111331 is about 1280.6017944541.

Adding to 2100111331 its reverse (1331110012), we get a palindrome (3431221343).

The spelling of 2100111331 in words is "two billion, one hundred million, one hundred eleven thousand, three hundred thirty-one".