13113001100 has 72 divisors (see below), whose sum is σ = 28703142048. Its totient is φ = 5199667200.

The previous prime is 13113001093. The next prime is 13113001103. The reversal of 13113001100 is 110031131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13113001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10063049 + ... + 10064351.

Almost surely, 2^13113001100 is an apocalyptic number.

13113001100 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 13113001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14351571024).

13113001100 is an abundant number, since it is smaller than the sum of its proper divisors (15590140948).

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

13113001100 is a wasteful number, since it uses less digits than its factorization.

13113001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 13113001100 its reverse (110031131), we get a palindrome (13223032231).

The spelling of 13113001100 in words is "thirteen billion, one hundred thirteen million, one thousand, one hundred".