13248100 has 36 divisors (see below), whose sum is σ = 30443364. Its totient is φ = 4986880.

The previous prime is 13248097. The next prime is 13248101. The reversal of 13248100 is 184231.

It can be written as a sum of positive squares in 6 ways, for example, as 1304164 + 11943936 = 1142^2 + 3456^2 .

It is a super-2 number, since 2×13248100² = 351024307220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13248101) 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, 2197 + ... + 5596.

It is an arithmetic number, because the mean of its divisors is an integer number (845649).

Almost surely, 2^13248100 is an apocalyptic number.

13248100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13248100 is an abundant number, since it is smaller than the sum of its proper divisors (17195264).

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

13248100 is a wasteful number, since it uses less digits than its factorization.

13248100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7824 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 13248100 is about 3639.7939502120. The cubic root of 13248100 is about 236.6198633450.

The spelling of 13248100 in words is "thirteen million, two hundred forty-eight thousand, one hundred".