2124100313 has 2 divisors, whose sum is σ = 2124100314. Its totient is φ = 2124100312.

The previous prime is 2124100267. The next prime is 2124100327. The reversal of 2124100313 is 3130014212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2076807184 + 47293129 = 45572^2 + 6877^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124100313 - 2⁶ = 2124100249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2124100291 and 2124100300.

It is not a weakly prime, because it can be changed into another prime (2124100333) 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, 1062050156 + 1062050157.

It is an arithmetic number, because the mean of its divisors is an integer number (1062050157).

Almost surely, 2^2124100313 is an apocalyptic number.

It is an amenable number.

2124100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124100313 is an equidigital number, since it uses as much as digits as its factorization.

2124100313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2124100313 is about 46087.9627777145. The cubic root of 2124100313 is about 1285.4593306096.

Adding to 2124100313 its reverse (3130014212), we get a palindrome (5254114525).

The spelling of 2124100313 in words is "two billion, one hundred twenty-four million, one hundred thousand, three hundred thirteen".