13413451400100 has 576 divisors, whose sum is σ = 45460027872000. Its totient is φ = 3387918643200.

The previous prime is 13413451400047. The next prime is 13413451400101. The reversal of 13413451400100 is 100415431431.

13413451400100 is a `hidden beast` number, since 1 + 3 + 4 + 134 + 514 + 0 + 0 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13413451400101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2406860914 + ... + 2406866486.

It is an arithmetic number, because the mean of its divisors is an integer number (78923659500).

Almost surely, 2^{13413451400100} is an apocalyptic number.

13413451400100 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 13413451400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22730013936000).

13413451400100 is an abundant number, since it is smaller than the sum of its proper divisors (32046576471900).

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

13413451400100 is a wasteful number, since it uses less digits than its factorization.

13413451400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13413451400100 its reverse (100415431431), we get a palindrome (13513866831531).

The spelling of 13413451400100 in words is "thirteen trillion, four hundred thirteen billion, four hundred fifty-one million, four hundred thousand, one hundred".