13435816940100 has 243 divisors, whose sum is σ = 42836916535959. Its totient is φ = 3522389270400.

The previous prime is 13435816940041. The next prime is 13435816940101. The reversal of 13435816940100 is 104961853431.

The square root of 13435816940100 is 3665490.

It is a perfect power (a square), and thus also a powerful number.

13435816940100 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 581 + 69 + 4 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6188780651076 + 7247036289024 = 2487726^2 + 2692032^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13435816940101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6707845699 + ... + 6707847701.

Almost surely, 2^{13435816940100} is an apocalyptic number.

13435816940100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13435816940100 is the 3665490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13435816940100

13435816940100 is an abundant number, since it is smaller than the sum of its proper divisors (29401099595859).

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

13435816940100 is an equidigital number, since it uses as much as digits as its factorization.

13435816940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13435816940100 in words is "thirteen trillion, four hundred thirty-five billion, eight hundred sixteen million, nine hundred forty thousand, one hundred".