13191100 has 72 divisors (see below), whose sum is σ = 31473680. Its totient is φ = 4769280.

The previous prime is 13191097. The next prime is 13191103. The reversal of 13191100 is 119131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13191097) and next prime (13191103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13191103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94831 + ... + 94969.

Almost surely, 2^13191100 is an apocalyptic number.

13191100 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 13191100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15736840).

13191100 is an abundant number, since it is smaller than the sum of its proper divisors (18282580).

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

13191100 is a wasteful number, since it uses less digits than its factorization.

13191100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 16.

The square root of 13191100 is about 3631.9553962019. The cubic root of 13191100 is about 236.2800228728.

The spelling of 13191100 in words is "thirteen million, one hundred ninety-one thousand, one hundred".