13113101100 has 288 divisors, whose sum is σ = 43062243840. Its totient is φ = 3051776000.

The previous prime is 13113101093. The next prime is 13113101101. The reversal of 13113101100 is 110131131.

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

It is not an unprimeable number, because it can be changed into a prime (13113101101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25168840 + ... + 25169360.

It is an arithmetic number, because the mean of its divisors is an integer number (149521680).

Almost surely, 2^13113101100 is an apocalyptic number.

13113101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21531121920).

13113101100 is an abundant number, since it is smaller than the sum of its proper divisors (29949142740).

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

13113101100 is a wasteful number, since it uses less digits than its factorization.

13113101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 834 counting only the distinct ones).

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

Adding to 13113101100 its reverse (110131131), we get a palindrome (13223232231).

The spelling of 13113101100 in words is "thirteen billion, one hundred thirteen million, one hundred one thousand, one hundred".