Number analysis
130
130 is a composite even number that factors as 2 × 5 × 13.
130 is a composite even number that factors as 2 × 5 × 13.
The number itself
- Value
- 130
- Digits
- 3
- Digit sum
- 4
- Reversed
- 31
- Palindrome
- No
1 + 3 + 0
Digit sum repeated until one digit remains; equals n mod 9 (with 9 for multiples of 9).
Reverses to 31.
Parity and primality
- Parity
- Even
- Prime
- No
- Prime factorisation
- 2 × 5 × 13
- Squarefree
- Yes
- Möbius μ(n)
- -1
- Nearest primes
- 127 ← → 131
Divisible by 2.
Composite — it factors as 2 × 5 × 13.
3 distinct prime factors, 3 with multiplicity.
No prime divides it twice.
(−1) to the power of 3 distinct prime factors.
A gap of 4 between them.
Divisors
- Aliquot sum
- 122
- Classification
- Deficient
1, 2, 5, 10, 13, 26, 65, 130
The proper divisors — everything except n itself.
Its proper divisors fall short by 8.
How many integers from 1 to n share no factor with n.
Sums and additive structure
- Sum of two squares
- Yes
- Sum of three squares
- Yes
- Sum of four squares
- Yes
- Goldbach pair
- 3 + 127
3² + 11² = 130 · 7² + 9² = 130
Legendre's three-square theorem allows it.
Lagrange's four-square theorem: every non-negative integer is, without exception.
The smallest pair of primes summing to n. Goldbach’s conjecture says one always exists; it remains unproven.
Shapes and sequences
- Figurate shapes
- None
Not triangular, square, pentagonal, hexagonal, cubic, Fibonacci, Lucas, Catalan, factorial or a power of two.
Digit curiosities
- Happy number
- Yes
- Harshad number
- No
- Collatz trajectory
- 28 steps to 1
Repeatedly summing the squares of its digits reaches 1.
Not divisible by its digit sum 4.
Peaks at 196 along the way.
Written other ways
- Binary
- 10000010
- Octal
- 202
- Hexadecimal
- 82
- Base 36
- 3M
- Roman numerals
- CXXX
- In words
- one hundred and thirty
- Scientific notation
- 1.30 × 10^2
Is 130 a prime number?
Composite — it factors as 2 × 5 × 13.
Nearby numbers
Other numeral systems
Beyond the bases and Roman numerals above, these notations write 130 their own way.
- Morse code
- · − − − − · · · − − − − − − −
- Devanagari
- १३०
- Tamil
- ௱௩௰
- Thai
- ๑๓๐
References
Further reading: Wikipedia · Wikidata
Notations, naming and the links above come from Wikidata, whose structured data is dedicated to the public domain under CC0-1.0. Retrieved 2026-10-07.