4101313 has 2 divisors, whose sum is σ = 4101314. Its totient is φ = 4101312.

The previous prime is 4101289. The next prime is 4101319. The reversal of 4101313 is 3131014.

4101313 is nontrivially palindromic in base 12.

4101313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3448449 + 652864 = 1857^2 + 808^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4101313 is a prime.

4101313 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4101293 and 4101302.

It is not a weakly prime, because it can be changed into another prime (4101319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050656 + 2050657.

It is an arithmetic number, because the mean of its divisors is an integer number (2050657).

Almost surely, 2^4101313 is an apocalyptic number.

It is an amenable number.

4101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4101313 is an equidigital number, since it uses as much as digits as its factorization.

4101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 4101313 is about 2025.1698694184. The cubic root of 4101313 is about 160.0691497976.

Adding to 4101313 its reverse (3131014), we get a palindrome (7232327).

Subtracting from 4101313 its reverse (3131014), we obtain a cube (970299 = 99³).

The spelling of 4101313 in words is "four million, one hundred one thousand, three hundred thirteen".