13311000011100 has 72 divisors (see below), whose sum is σ = 42014356409088. Its totient is φ = 3226909092800.

The previous prime is 13311000011093. The next prime is 13311000011161. The reversal of 13311000011100 is 111000011331.

13311000011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2016814884 + ... + 2016821483.

It is an arithmetic number, because the mean of its divisors is an integer number (583532727904).

Almost surely, 2^{13311000011100} is an apocalyptic number.

13311000011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311000011100 is an abundant number, since it is smaller than the sum of its proper divisors (28703356397988).

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

13311000011100 is a wasteful number, since it uses less digits than its factorization.

13311000011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033636395 (or 4033636388 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 13311000011100 its reverse (111000011331), we get a palindrome (13422000022431).

The spelling of 13311000011100 in words is "thirteen trillion, three hundred eleven billion, eleven thousand, one hundred".