13004100 has 54 divisors (see below), whose sum is σ = 40763450. Its totient is φ = 3467520.

The previous prime is 13004087. The next prime is 13004129. The reversal of 13004100 is 140031.

It can be written as a sum of positive squares in 3 ways, for example, as 3968064 + 9036036 = 1992^2 + 3006^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6325 + ... + 8124.

Almost surely, 2^13004100 is an apocalyptic number.

13004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13004100 is an abundant number, since it is smaller than the sum of its proper divisors (27759350).

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

13004100 is a wasteful number, since it uses less digits than its factorization.

13004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14469 (or 14459 counting only the distinct ones).

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

The square root of 13004100 is about 3606.1197983428. The cubic root of 13004100 is about 235.1581853334.

Adding to 13004100 its reverse (140031), we get a palindrome (13144131).

The spelling of 13004100 in words is "thirteen million, four thousand, one hundred".