13024900 has 72 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 4266240.

The previous prime is 13024889. The next prime is 13024901. The reversal of 13024900 is 942031.

13024900 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13024900 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (13024901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15696 + ... + 16504.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^13024900 is an apocalyptic number.

13024900 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 13024900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

13024900 is an abundant number, since it is smaller than the sum of its proper divisors (20722940).

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

13024900 is a wasteful number, since it uses less digits than its factorization.

13024900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13024900 is about 3609.0026323072. The cubic root of 13024900 is about 235.2834967020.

Subtracting from 13024900 its sum of digits (19), we obtain a square (13024881 = 3609²).

Adding to 13024900 its reverse (942031), we get a palindrome (13966931).

It can be divided in two parts, 13024 and 900, that added together give a square (13924 = 118²).

The spelling of 13024900 in words is "thirteen million, twenty-four thousand, nine hundred".