103013310110013 has 6 divisors (see below), whose sum is σ = 148797003492254. Its totient is φ = 68675540073336.

The previous prime is 103013310109999. The next prime is 103013310110017. The reversal of 103013310110013 is 310011013310301.

103013310110013 is a `hidden beast` number, since 10 + 301 + 331 + 0 + 1 + 10 + 0 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55648660798809 + 47364649311204 = 7459803^2 + 6882198^2 .

It is not a de Polignac number, because 103013310110013 - 2¹⁷ = 103013309978941 is a prime.

It is a super-2 number, since 2×103013310110013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013310110017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5722961672770 + ... + 5722961672787.

Almost surely, 2^{103013310110013} is an apocalyptic number.

It is an amenable number.

103013310110013 is a deficient number, since it is larger than the sum of its proper divisors (45783693382241).

103013310110013 is a wasteful number, since it uses less digits than its factorization.

103013310110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11445923345563 (or 11445923345560 counting only the distinct ones).

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

Adding to 103013310110013 its reverse (310011013310301), we get a palindrome (413024323420314).

The spelling of 103013310110013 in words is "one hundred three trillion, thirteen billion, three hundred ten million, one hundred ten thousand, thirteen".