13382100 has 54 divisors (see below), whose sum is σ = 41948270. Its totient is φ = 3568320.

The previous prime is 13382087. The next prime is 13382167. The reversal of 13382100 is 128331.

It can be written as a sum of positive squares in 3 ways, for example, as 161604 + 13220496 = 402^2 + 3636^2 .

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

It is a congruent number.

It is an unprimeable number.

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, 6535 + ... + 8334.

Almost surely, 2^13382100 is an apocalyptic number.

13382100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13382100 is an abundant number, since it is smaller than the sum of its proper divisors (28566170).

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

13382100 is a wasteful number, since it uses less digits than its factorization.

13382100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14889 (or 14879 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13382100 is about 3658.1552728117. The cubic root of 13382100 is about 237.4149649407.

The spelling of 13382100 in words is "thirteen million, three hundred eighty-two thousand, one hundred".