13101984 has 144 divisors (see below), whose sum is σ = 43662528. Its totient is φ = 3649536.

The previous prime is 13101983. The next prime is 13102003. The reversal of 13101984 is 48910131.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13101983) 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, 135024 + ... + 135120.

It is an arithmetic number, because the mean of its divisors is an integer number (303212).

Almost surely, 2^13101984 is an apocalyptic number.

13101984 is a gapful number since it is divisible by the number (14) 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 13101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21831264).

13101984 is an abundant number, since it is smaller than the sum of its proper divisors (30560544).

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

13101984 is a wasteful number, since it uses less digits than its factorization.

13101984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 13101984 is about 3619.6662829604. Note that the first 3 decimals coincide. The cubic root of 13101984 is about 235.7467358709.

The spelling of 13101984 in words is "thirteen million, one hundred one thousand, nine hundred eighty-four".