13313111100 has 72 divisors (see below), whose sum is σ = 38732239728. Its totient is φ = 3530534400.

The previous prime is 13313111099. The next prime is 13313111129. The reversal of 13313111100 is 111131331.

13313111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13313111100³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13313111100.

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, 68289 + ... + 176888.

It is an arithmetic number, because the mean of its divisors is an integer number (537947774).

Almost surely, 2^13313111100 is an apocalyptic number.

13313111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313111100 is an abundant number, since it is smaller than the sum of its proper divisors (25419128628).

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

13313111100 is a wasteful number, since it uses less digits than its factorization.

13313111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245375 (or 245368 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 13313111100 its reverse (111131331), we get a palindrome (13424242431).

The spelling of 13313111100 in words is "thirteen billion, three hundred thirteen million, one hundred eleven thousand, one hundred".