103300313013 has 32 divisors (see below), whose sum is σ = 155540090880. Its totient is φ = 67745652480.

The previous prime is 103300312979. The next prime is 103300313027. The reversal of 103300313013 is 310313003301.

103300313013 is a `hidden beast` number, since 1 + 0 + 330 + 0 + 31 + 301 + 3 = 666.

It is not a de Polignac number, because 103300313013 - 2⁸ = 103300312757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103300313063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686473 + ... + 823313.

It is an arithmetic number, because the mean of its divisors is an integer number (4860627840).

Almost surely, 2^103300313013 is an apocalyptic number.

It is an amenable number.

103300313013 is a deficient number, since it is larger than the sum of its proper divisors (52239777867).

103300313013 is a wasteful number, since it uses less digits than its factorization.

103300313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137306 (or 137300 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103300313013 its reverse (310313003301), we get a palindrome (413613316314).

The spelling of 103300313013 in words is "one hundred three billion, three hundred million, three hundred thirteen thousand, thirteen".