13331
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13332
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13330
- Möbius Function
- -1
- Radical
- 13331
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 94
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1583
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=28A002148
- Palindromic primes: prime numbers whose decimal expansion is a palindrome.at n=28A002385
- Octal palindromes which are also primes.at n=23A006341
- Palindromic reflectable primes.at n=9A007616
- Primes that contain digits 1 and 3 only.at n=15A020451
- Fibonacci sequence beginning 3, 20.at n=15A022129
- Numbers that are palindromic in bases 8 and 10.at n=18A029804
- Palindromic primes in base 8.at n=32A029976
- Palindromic Super-2 Numbers.at n=19A032750
- Numbers having only digits 1 and 3 in their decimal representation.at n=44A032917
- Palindromic prime lengths of factorials: see A035067.at n=17A035068
- Number of partitions in parts not of the form 23k, 23k+1 or 23k-1. Also number of partitions with no part of size 1 and differences between parts at distance 10 are greater than 1.at n=44A035989
- Base 8 palindromes that start with 3.at n=34A043023
- Primes that are palindromic in bases 8 and 10.at n=5A046477
- Palindromic primes containing at least one pair of consecutive equal digits.at n=3A050786
- Prime powers such that 1 + lcm(1,2,...,p^w) is prime.at n=21A051453
- Palindromic primes whose sum of squared digits is also prime.at n=12A052035
- Palindromic primes using only two distinct digits and only the exterior digit is different.at n=15A056728
- Palindromic primes with just two distinct digits.at n=17A056730
- Primes p such that x^43 = 2 has no solution mod p.at n=35A059243