13049100 has 126 divisors (see below), whose sum is σ = 42692580. Its totient is φ = 3460320.

The previous prime is 13049093. The next prime is 13049129. The reversal of 13049100 is 194031.

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

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 41 ways as a sum of consecutive naturals, for example, 72811 + ... + 72989.

It is an arithmetic number, because the mean of its divisors is an integer number (338830).

Almost surely, 2^13049100 is an apocalyptic number.

13049100 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 13049100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21346290).

13049100 is an abundant number, since it is smaller than the sum of its proper divisors (29643480).

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

13049100 is a wasteful number, since it uses less digits than its factorization.

13049100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13049100 is about 3612.3538032701. The cubic root of 13049100 is about 235.4291238698.

It can be divided in two parts, 1304 and 9100, that added together give a square (10404 = 102²).

The spelling of 13049100 in words is "thirteen million, forty-nine thousand, one hundred".