13252100 has 36 divisors (see below), whose sum is σ = 29099700. Its totient is φ = 5237760.

The previous prime is 13252087. The next prime is 13252123. The reversal of 13252100 is 125231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2611456 + 10640644 = 1616^2 + 3262^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8156 + ... + 9644.

It is an arithmetic number, because the mean of its divisors is an integer number (808325).

Almost surely, 2^13252100 is an apocalyptic number.

13252100 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 13252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549850).

13252100 is an abundant number, since it is smaller than the sum of its proper divisors (15847600).

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

13252100 is a wasteful number, since it uses less digits than its factorization.

13252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 13252100 is about 3640.3433903960. The cubic root of 13252100 is about 236.6436751674.

Adding to 13252100 its reverse (125231), we get a palindrome (13377331).

The spelling of 13252100 in words is "thirteen million, two hundred fifty-two thousand, one hundred".