13083300 has 54 divisors (see below), whose sum is σ = 41011698. Its totient is φ = 3488640.

The previous prime is 13083299. The next prime is 13083307. The reversal of 13083300 is 338031.

It can be written as a sum of positive squares in 3 ways, for example, as 166464 + 12916836 = 408^2 + 3594^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13083307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6369 + ... + 8168.

Almost surely, 2^13083300 is an apocalyptic number.

13083300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13083300 is an abundant number, since it is smaller than the sum of its proper divisors (27928398).

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

13083300 is a wasteful number, since it uses less digits than its factorization.

13083300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14557 (or 14547 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13083300 is about 3617.0844612754. The cubic root of 13083300 is about 235.6346208550.

The spelling of 13083300 in words is "thirteen million, eighty-three thousand, three hundred".