13113310100 has 144 divisors (see below), whose sum is σ = 32073947136. Its totient is φ = 4612272000.

The previous prime is 13113310061. The next prime is 13113310109. The reversal of 13113310100 is 101331131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113310109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5059805 + ... + 5062395.

It is an arithmetic number, because the mean of its divisors is an integer number (222735744).

Almost surely, 2^13113310100 is an apocalyptic number.

13113310100 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 13113310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16036973568).

13113310100 is an abundant number, since it is smaller than the sum of its proper divisors (18960637036).

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

13113310100 is a wasteful number, since it uses less digits than its factorization.

13113310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13113310100 its reverse (101331131), we get a palindrome (13214641231).

The spelling of 13113310100 in words is "thirteen billion, one hundred thirteen million, three hundred ten thousand, one hundred".