13333014400100 has 18 divisors (see below), whose sum is σ = 28932641248434. Its totient is φ = 5333205760000.

The previous prime is 13333014400039. The next prime is 13333014400157. The reversal of 13333014400100 is 100441033331.

It can be written as a sum of positive squares in 3 ways, for example, as 1007971824484 + 12325042575616 = 1003978^2 + 3510704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66665071901 + ... + 66665072100.

Almost surely, 2^{13333014400100} is an apocalyptic number.

13333014400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13333014400100 is an abundant number, since it is smaller than the sum of its proper divisors (15599626848334).

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

13333014400100 is a wasteful number, since it uses less digits than its factorization.

13333014400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133330144015 (or 133330144008 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13333014400100 its reverse (100441033331), we get a palindrome (13433455433431).

The spelling of 13333014400100 in words is "thirteen trillion, three hundred thirty-three billion, fourteen million, four hundred thousand, one hundred".