103013444313 has 48 divisors (see below), whose sum is σ = 170170116480. Its totient is φ = 59524803072.

The previous prime is 103013444309. The next prime is 103013444321. The reversal of 103013444313 is 313444310301.

103013444313 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 344 + 4 + 313 = 666.

It is not a de Polignac number, because 103013444313 - 2² = 103013444309 is a prime.

It is a super-2 number, since 2×103013444313² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103013444363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46156 + ... + 456242.

It is an arithmetic number, because the mean of its divisors is an integer number (3545210760).

Almost surely, 2^103013444313 is an apocalyptic number.

103013444313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103013444313 is a deficient number, since it is larger than the sum of its proper divisors (67156672167).

103013444313 is a wasteful number, since it uses less digits than its factorization.

103013444313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410238 (or 410235 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 103013444313 its reverse (313444310301), we get a palindrome (416457754614).

The spelling of 103013444313 in words is "one hundred three billion, thirteen million, four hundred forty-four thousand, three hundred thirteen".