2114121413 has 2 divisors, whose sum is σ = 2114121414. Its totient is φ = 2114121412.

The previous prime is 2114121371. The next prime is 2114121419. The reversal of 2114121413 is 3141214112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2037348769 + 76772644 = 45137^2 + 8762^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114121413 - 2¹⁰ = 2114120389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114121419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057060706 + 1057060707.

It is an arithmetic number, because the mean of its divisors is an integer number (1057060707).

Almost surely, 2^2114121413 is an apocalyptic number.

It is an amenable number.

2114121413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114121413 is an equidigital number, since it uses as much as digits as its factorization.

2114121413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 20.

The square root of 2114121413 is about 45979.5760419776. The cubic root of 2114121413 is about 1283.4431655854.

Adding to 2114121413 its reverse (3141214112), we get a palindrome (5255335525).

The spelling of 2114121413 in words is "two billion, one hundred fourteen million, one hundred twenty-one thousand, four hundred thirteen".