13405430540100 has 144 divisors (see below), whose sum is σ = 39609907303680. Its totient is φ = 3499193318400.

The previous prime is 13405430540081. The next prime is 13405430540113. The reversal of 13405430540100 is 104503450431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5874816 + ... + 7830984.

It is an arithmetic number, because the mean of its divisors is an integer number (275068800720).

Almost surely, 2^{13405430540100} is an apocalyptic number.

13405430540100 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 13405430540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19804953651840).

13405430540100 is an abundant number, since it is smaller than the sum of its proper divisors (26204476763580).

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

13405430540100 is a wasteful number, since it uses less digits than its factorization.

13405430540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956670 (or 1956663 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13405430540100 its reverse (104503450431), we get a palindrome (13509933990531).

The spelling of 13405430540100 in words is "thirteen trillion, four hundred five billion, four hundred thirty million, five hundred forty thousand, one hundred".