13100 has 18 divisors (see below), whose sum is σ = 28644. Its totient is φ = 5200.

The previous prime is 13099. The next prime is 13103. The reversal of 13100 is 131.

13100 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13100² = 343220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

13100 is strictly pandigital in base 6.

It is not an unprimeable number, because it can be changed into a prime (13103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35 + ... + 165.

2¹³¹⁰⁰ is an apocalyptic number.

13100 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 13100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322).

13100 is an abundant number, since it is smaller than the sum of its proper divisors (15544).

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

13100 is a wasteful number, since it uses less digits than its factorization.

13100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 13100 is about 114.4552314226. The cubic root of 13100 is about 23.5734835761.

Adding to 13100 its reverse (131), we get a palindrome (13231).

Multiplying 13100 by its reverse (131), we get a square (1716100 = 1310²).

13100 divided by its reverse (131) gives a square (100 = 10²).

The spelling of 13100 in words is "thirteen thousand, one hundred".