106080000013 has 4 divisors (see below), whose sum is σ = 114240000028. Its totient is φ = 97920000000.

The previous prime is 106080000011. The next prime is 106080000031. The reversal of 106080000013 is 310000080601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310000080601 = 19477 ⋅15916213.

It can be written as a sum of positive squares in 2 ways, for example, as 72071845444 + 34008154569 = 268462^2 + 184413^2 .

It is a cyclic number.

It is not a de Polignac number, because 106080000013 - 2¹ = 106080000011 is a prime.

It is a super-2 number, since 2×106080000013² (a number of 23 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 (106080000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4079999988 + ... + 4080000013.

It is an arithmetic number, because the mean of its divisors is an integer number (28560000007).

Almost surely, 2^106080000013 is an apocalyptic number.

106080000013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106080000013 is a deficient number, since it is larger than the sum of its proper divisors (8160000015).

106080000013 is an equidigital number, since it uses as much as digits as its factorization.

106080000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8160000014.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 106080000013 its reverse (310000080601), we get a palindrome (416080080614).

The spelling of 106080000013 in words is "one hundred six billion, eighty million, thirteen", and thus it is an aban number.