13413103200 has 1728 divisors, whose sum is σ = 64120896000. Its totient is φ = 2682408960.

The previous prime is 13413103183. The next prime is 13413103213. The reversal of 13413103200 is 230131431.

13413103200 is a `hidden beast` number, since 1 + 34 + 1 + 310 + 320 + 0 = 666.

It is a super-2 number, since 2×13413103200² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 462520786 + ... + 462520814.

It is an arithmetic number, because the mean of its divisors is an integer number (37107000).

Almost surely, 2^13413103200 is an apocalyptic number.

13413103200 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 13413103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060448000).

13413103200 is an abundant number, since it is smaller than the sum of its proper divisors (50707792800).

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

13413103200 is a wasteful number, since it uses less digits than its factorization.

13413103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

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

Adding to 13413103200 its reverse (230131431), we get a palindrome (13643234631).

The spelling of 13413103200 in words is "thirteen billion, four hundred thirteen million, one hundred three thousand, two hundred".