13311010300133 has 24 divisors (see below), whose sum is σ = 17040824726400. Its totient is φ = 10168623226944.

The previous prime is 13311010300129. The next prime is 13311010300171. The reversal of 13311010300133 is 33100301011331.

It is not a de Polignac number, because 13311010300133 - 2² = 13311010300129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311010300193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193964153 + ... + 194032766.

It is an arithmetic number, because the mean of its divisors is an integer number (710034363600).

Almost surely, 2^{13311010300133} is an apocalyptic number.

13311010300133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13311010300133 is a deficient number, since it is larger than the sum of its proper divisors (3729814426267).

13311010300133 is a wasteful number, since it uses less digits than its factorization.

13311010300133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387996981 (or 387996968 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 13311010300133 its reverse (33100301011331), we get a palindrome (46411311311464).

The spelling of 13311010300133 in words is "thirteen trillion, three hundred eleven billion, ten million, three hundred thousand, one hundred thirty-three".