Search a number
13101 = 311397
BaseRepresentation
bin11001100101101
3122222020
43030231
5404401
6140353
753124
oct31455
918866
1013101
119930
1276b9
135c6a
144abb
153d36
hex332d

13101 has 8 divisors (see below), whose sum is σ = 19104. Its totient is φ = 7920.

The previous prime is 13099. The next prime is 13103. The reversal of 13101 is 10131.

It is an interprime number because it is at equal distance from previous prime (13099) and next prime (13103).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13101 - 21 = 13099 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 13101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166 + ... + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (2388).

213101 is an apocalyptic number.

13101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13101 is a deficient number, since it is larger than the sum of its proper divisors (6003).

13101 is a wasteful number, since it uses less digits than its factorization.

13101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 13101 is about 114.4595998595. The cubic root of 13101 is about 23.5740833951.

Adding to 13101 its reverse (10131), we get a palindrome (23232).

The spelling of 13101 in words is "thirteen thousand, one hundred one".

Divisors: 1 3 11 33 397 1191 4367 13101