103300113011013 has 10 divisors (see below), whose sum is σ = 154312514498054. Its totient is φ = 68866742007288.

The previous prime is 103300113010993. The next prime is 103300113011083. The reversal of 103300113011013 is 310110311003301.

103300113011013 is a `hidden beast` number, since 1 + 0 + 330 + 0 + 11 + 301 + 10 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102740462393409 + 559650617604 = 10136097^2 + 748098^2 .

It is not a de Polignac number, because 103300113011013 - 2¹⁴ = 103300112994629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103300113011083) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 637655018506 + ... + 637655018667.

Almost surely, 2^{103300113011013} is an apocalyptic number.

It is an amenable number.

103300113011013 is a deficient number, since it is larger than the sum of its proper divisors (51012401487041).

103300113011013 is an equidigital number, since it uses as much as digits as its factorization.

103300113011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275310037185 (or 1275310037176 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 103300113011013 its reverse (310110311003301), we get a palindrome (413410424014314).

The spelling of 103300113011013 in words is "one hundred three trillion, three hundred billion, one hundred thirteen million, eleven thousand, thirteen".