13106213600 has 72 divisors (see below), whose sum is σ = 33098897160. Its totient is φ = 5061701120.

The previous prime is 13106213599. The next prime is 13106213609. The reversal of 13106213600 is 631260131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106213609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259262 + ... + 305661.

It is an arithmetic number, because the mean of its divisors is an integer number (459706905).

Almost surely, 2^13106213600 is an apocalyptic number.

13106213600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13106213600 is an abundant number, since it is smaller than the sum of its proper divisors (19992683560).

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

13106213600 is a wasteful number, since it uses less digits than its factorization.

13106213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564972 (or 564959 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13106213600 its reverse (631260131), we get a palindrome (13737473731).

The spelling of 13106213600 in words is "thirteen billion, one hundred six million, two hundred thirteen thousand, six hundred".