13300013011100 has 72 divisors (see below), whose sum is σ = 28888213848480. Its totient is φ = 5314995896320.

The previous prime is 13300013011097. The next prime is 13300013011147. The reversal of 13300013011100 is 111031000331.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 830879297 + ... + 830895303.

It is an arithmetic number, because the mean of its divisors is an integer number (401225192340).

Almost surely, 2^{13300013011100} is an apocalyptic number.

13300013011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300013011100 is an abundant number, since it is smaller than the sum of its proper divisors (15588200837380).

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

13300013011100 is a wasteful number, since it uses less digits than its factorization.

13300013011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23327 (or 23320 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13300013011100 its reverse (111031000331), we get a palindrome (13411044011431).

The spelling of 13300013011100 in words is "thirteen trillion, three hundred billion, thirteen million, eleven thousand, one hundred".