13005102 has 64 divisors (see below), whose sum is σ = 30668544. Its totient is φ = 3632640.

The previous prime is 13005073. The next prime is 13005103. The reversal of 13005102 is 20150031.

13005102 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75088 + ... + 75260.

It is an arithmetic number, because the mean of its divisors is an integer number (479196).

Almost surely, 2^13005102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334272).

13005102 is an abundant number, since it is smaller than the sum of its proper divisors (17663442).

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

13005102 is a wasteful number, since it uses less digits than its factorization.

13005102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 13005102 is about 3606.2587261593. The cubic root of 13005102 is about 235.1642250298.

Adding to 13005102 its reverse (20150031), we get a palindrome (33155133).

Subtracting 13005102 from its reverse (20150031), we obtain a square (7144929 = 2673²).

The spelling of 13005102 in words is "thirteen million, five thousand, one hundred two".