103013011313 has 2 divisors, whose sum is σ = 103013011314. Its totient is φ = 103013011312.

The previous prime is 103013011291. The next prime is 103013011327. The reversal of 103013011313 is 313110310301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78637058929 + 24375952384 = 280423^2 + 156128^2 .

It is an emirp because it is prime and its reverse (313110310301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103013011313 - 2³⁶ = 34293534577 is a prime.

It is a super-2 number, since 2×103013011313² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103013011291 and 103013011300.

It is not a weakly prime, because it can be changed into another prime (103013011373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51506505656 + 51506505657.

It is an arithmetic number, because the mean of its divisors is an integer number (51506505657).

Almost surely, 2^103013011313 is an apocalyptic number.

It is an amenable number.

103013011313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103013011313 is an equidigital number, since it uses as much as digits as its factorization.

103013011313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 103013011313 its reverse (313110310301), we get a palindrome (416123321614).

The spelling of 103013011313 in words is "one hundred three billion, thirteen million, eleven thousand, three hundred thirteen".