103414311313 has 8 divisors (see below), whose sum is σ = 105522122088. Its totient is φ = 101312300544.

The previous prime is 103414311307. The next prime is 103414311347. The reversal of 103414311313 is 313113414301.

It can be written as a sum of positive squares in 4 ways, for example, as 13016071744 + 90398239569 = 114088^2 + 300663^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103414311313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103414011313) 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 in 7 ways as a sum of consecutive naturals, for example, 1413970 + ... + 1485307.

It is an arithmetic number, because the mean of its divisors is an integer number (13190265261).

Almost surely, 2^103414311313 is an apocalyptic number.

It is an amenable number.

103414311313 is a deficient number, since it is larger than the sum of its proper divisors (2107810775).

103414311313 is an equidigital number, since it uses as much as digits as its factorization.

103414311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900003.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 103414311313 its reverse (313113414301), we get a palindrome (416527725614).

The spelling of 103414311313 in words is "one hundred three billion, four hundred fourteen million, three hundred eleven thousand, three hundred thirteen".