13111102232100 has 108 divisors (see below), whose sum is σ = 41357780096724. Its totient is φ = 3474024503040.

The previous prime is 13111102232093. The next prime is 13111102232101. The reversal of 13111102232100 is 123220111131.

13111102232100 is a `hidden beast` number, since 1 + 311 + 1 + 10 + 22 + 321 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3400948235556 + 9710153996544 = 1844166^2 + 3116112^2 .

It is a super-3 number, since 3×13111102232100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13111102232101) 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 35 ways as a sum of consecutive naturals, for example, 46253259 + ... + 46535858.

It is an arithmetic number, because the mean of its divisors is an integer number (382942408303).

Almost surely, 2^{13111102232100} is an apocalyptic number.

13111102232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111102232100 is an abundant number, since it is smaller than the sum of its proper divisors (28246677864624).

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

13111102232100 is a wasteful number, since it uses less digits than its factorization.

13111102232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92789294 (or 92789284 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13111102232100 its reverse (123220111131), we get a palindrome (13234322343231).

The spelling of 13111102232100 in words is "thirteen trillion, one hundred eleven billion, one hundred two million, two hundred thirty-two thousand, one hundred".