33300011100013 has 16 divisors (see below), whose sum is σ = 38961418129920. Its totient is φ = 27865324687536.

The previous prime is 33300011099959. The next prime is 33300011100029. The reversal of 33300011100013 is 31000111000333.

It is a de Polignac number, because none of the positive numbers 2^k-33300011100013 is a prime.

It is a super-2 number, since 2×33300011100013² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33300011100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33300011100913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26679283 + ... + 27899536.

It is an arithmetic number, because the mean of its divisors is an integer number (2435088633120).

Almost surely, 2^{33300011100013} is an apocalyptic number.

It is an amenable number.

33300011100013 is a deficient number, since it is larger than the sum of its proper divisors (5661407029907).

33300011100013 is a wasteful number, since it uses less digits than its factorization.

33300011100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54580896.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 33300011100013 its reverse (31000111000333), we get a palindrome (64300122100346).

The spelling of 33300011100013 in words is "thirty-three trillion, three hundred billion, eleven million, one hundred thousand, thirteen".