13342413600 has 216 divisors, whose sum is σ = 47368257300. Its totient is φ = 3533813760.

The previous prime is 13342413589. The next prime is 13342413611. The reversal of 13342413600 is 631424331.

13342413600 is a `hidden beast` number, since 1 + 3 + 3 + 42 + 4 + 13 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (13342413589) and next prime (13342413611).

It can be written as a sum of positive squares in 6 ways, for example, as 217503504 + 13124910096 = 14748^2 + 114564^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1066582 + ... + 1079018.

Almost surely, 2^13342413600 is an apocalyptic number.

13342413600 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 13342413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23684128650).

13342413600 is an abundant number, since it is smaller than the sum of its proper divisors (34025843700).

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

13342413600 is a wasteful number, since it uses less digits than its factorization.

13342413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12612 (or 12596 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13342413600 its reverse (631424331), we get a palindrome (13973837931).

The spelling of 13342413600 in words is "thirteen billion, three hundred forty-two million, four hundred thirteen thousand, six hundred".