13340312100 has 108 divisors (see below), whose sum is σ = 41917859620. Its totient is φ = 3548620800.

The previous prime is 13340312093. The next prime is 13340312113. The reversal of 13340312100 is 121304331.

13340312100 is a `hidden beast` number, since 1 + 3 + 340 + 312 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 816016356 + 12524295744 = 28566^2 + 111912^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 349980 + ... + 386220.

Almost surely, 2^13340312100 is an apocalyptic number.

13340312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13340312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958929810).

13340312100 is an abundant number, since it is smaller than the sum of its proper divisors (28577547520).

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

13340312100 is a wasteful number, since it uses less digits than its factorization.

13340312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36670 (or 36660 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13340312100 its reverse (121304331), we get a palindrome (13461616431).

The spelling of 13340312100 in words is "thirteen billion, three hundred forty million, three hundred twelve thousand, one hundred".