13206103768 has 64 divisors (see below), whose sum is σ = 29147519520. Its totient is φ = 5530137600.

The previous prime is 13206103759. The next prime is 13206103777. The reversal of 13206103768 is 86730160231.

It is an interprime number because it is at equal distance from previous prime (13206103759) and next prime (13206103777).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584946 + ... + 607102.

Almost surely, 2^13206103768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13206103768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14573759760).

13206103768 is an abundant number, since it is smaller than the sum of its proper divisors (15941415752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13206103768 is a wasteful number, since it uses less digits than its factorization.

13206103768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22708 (or 22704 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

Adding to 13206103768 its reverse (86730160231), we get a palindrome (99936263999).

It can be divided in two parts, 1320610 and 3768, that added together give a triangular number (1324378 = T₁₆₂₇).

The spelling of 13206103768 in words is "thirteen billion, two hundred six million, one hundred three thousand, seven hundred sixty-eight".