2111110120013 has 2 divisors, whose sum is σ = 2111110120014. Its totient is φ = 2111110120012.

The previous prime is 2111110119941. The next prime is 2111110120057. The reversal of 2111110120013 is 3100210111112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1155715301764 + 955394818249 = 1075042^2 + 977443^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2111110120013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2111110120013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111110120813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055555060006 + 1055555060007.

It is an arithmetic number, because the mean of its divisors is an integer number (1055555060007).

Almost surely, 2^{2111110120013} is an apocalyptic number.

It is an amenable number.

2111110120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111110120013 is an equidigital number, since it uses as much as digits as its factorization.

2111110120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 2111110120013 its reverse (3100210111112), we get a palindrome (5211320231125).

The spelling of 2111110120013 in words is "two trillion, one hundred eleven billion, one hundred ten million, one hundred twenty thousand, thirteen".