103131111113013 has 16 divisors (see below), whose sum is σ = 137699598417920. Its totient is φ = 68658415081776.

The previous prime is 103131111113011. The next prime is 103131111113027. The reversal of 103131111113013 is 310311111131301.

It is not a de Polignac number, because 103131111113013 - 2¹ = 103131111113011 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 (103131111113011) 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 in 15 ways as a sum of consecutive naturals, for example, 2027833 + ... + 14504286.

It is an arithmetic number, because the mean of its divisors is an integer number (8606224901120).

Almost surely, 2^{103131111113013} is an apocalyptic number.

It is an amenable number.

103131111113013 is a deficient number, since it is larger than the sum of its proper divisors (34568487304907).

103131111113013 is a wasteful number, since it uses less digits than its factorization.

103131111113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16535016.

The product of its (nonzero) digits is 81, while the sum is 21.

Adding to 103131111113013 its reverse (310311111131301), we get a palindrome (413442222244314).

The spelling of 103131111113013 in words is "one hundred three trillion, one hundred thirty-one billion, one hundred eleven million, one hundred thirteen thousand, thirteen".