13042100 has 36 divisors (see below), whose sum is σ = 29000748. Its totient is φ = 5088000.

The previous prime is 13042097. The next prime is 13042109. The reversal of 13042100 is 124031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5134756 + 7907344 = 2266^2 + 2812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2510 + ... + 5690.

Almost surely, 2^13042100 is an apocalyptic number.

13042100 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 13042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500374).

13042100 is an abundant number, since it is smaller than the sum of its proper divisors (15958648).

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

13042100 is a wasteful number, since it uses less digits than its factorization.

13042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 13042100 is about 3611.3847759551. The cubic root of 13042100 is about 235.3870188297.

Adding to 13042100 its reverse (124031), we get a palindrome (13166131).

The spelling of 13042100 in words is "thirteen million, forty-two thousand, one hundred".