4101013313 has 2 divisors, whose sum is σ = 4101013314. Its totient is φ = 4101013312.

The previous prime is 4101013307. The next prime is 4101013339. The reversal of 4101013313 is 3133101014.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4088707249 + 12306064 = 63943^2 + 3508^2 .

It is a cyclic number.

It is not a de Polignac number, because 4101013313 - 2⁶ = 4101013249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4101013291 and 4101013300.

It is not a weakly prime, because it can be changed into another prime (4101013303) 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, 2050506656 + 2050506657.

It is an arithmetic number, because the mean of its divisors is an integer number (2050506657).

Almost surely, 2^4101013313 is an apocalyptic number.

It is an amenable number.

4101013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4101013313 is an equidigital number, since it uses as much as digits as its factorization.

4101013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 4101013313 is about 64039.1545306463. The cubic root of 4101013313 is about 1600.6525089890.

Adding to 4101013313 its reverse (3133101014), we get a palindrome (7234114327).

The spelling of 4101013313 in words is "four billion, one hundred one million, thirteen thousand, three hundred thirteen".