2114124414013 has 2 divisors, whose sum is σ = 2114124414014. Its totient is φ = 2114124414012.

The previous prime is 2114124414007. The next prime is 2114124414023. The reversal of 2114124414013 is 3104144214112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1947760766884 + 166363647129 = 1395622^2 + 407877^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114124414013 - 2²⁵ = 2114090859581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114124414023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057062207006 + 1057062207007.

It is an arithmetic number, because the mean of its divisors is an integer number (1057062207007).

Almost surely, 2^{2114124414013} is an apocalyptic number.

It is an amenable number.

2114124414013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114124414013 is an equidigital number, since it uses as much as digits as its factorization.

2114124414013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 2114124414013 its reverse (3104144214112), we get a palindrome (5218268628125).

The spelling of 2114124414013 in words is "two trillion, one hundred fourteen billion, one hundred twenty-four million, four hundred fourteen thousand, thirteen".