13018100 has 54 divisors (see below), whose sum is σ = 29666070. Its totient is φ = 4952640.

The previous prime is 13018087. The next prime is 13018111. The reversal of 13018100 is 181031.

It can be written as a sum of positive squares in 3 ways, for example, as 879844 + 12138256 = 938^2 + 3484^2 .

It is a super-2 number, since 2×13018100² = 338941855220000, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 194267 + ... + 194333.

Almost surely, 2^13018100 is an apocalyptic number.

13018100 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 13018100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14833035).

13018100 is an abundant number, since it is smaller than the sum of its proper divisors (16647970).

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

13018100 is a wasteful number, since it uses less digits than its factorization.

13018100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 13018100 is about 3608.0604207801. The cubic root of 13018100 is about 235.2425442113.

Adding to 13018100 its reverse (181031), we get a palindrome (13199131).

The spelling of 13018100 in words is "thirteen million, eighteen thousand, one hundred".