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131,713

131,713 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

131,713 (one hundred thirty-one thousand seven hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20281.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
63
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
317,131
Recamán's sequence
a(228,946) = 131,713
Square (n²)
17,348,314,369
Cube (n³)
2,284,998,530,484,097
Divisor count
2
σ(n) — sum of divisors
131,714
φ(n) — Euler's totient
131,712

Primality

131,713 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131713
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,713)
1 × 131713
First multiples
131,713 · 263,426 (double) · 395,139 · 526,852 · 658,565 · 790,278 · 921,991 · 1,053,704 · 1,185,417 · 1,317,130

Sums & aliquot sequence

As a sum of two squares: 103² + 348²
As consecutive integers: 65,856 + 65,857

Continued fraction of √n

√131,713 = [362; (1, 11, 1, 25, 1, 24, 15, 12, 4, 4, 4, 1, 4, 7, 1, 3, 3, 6, 1, 2, 19, 3, 1, 2, …)]

Representations

In words
one hundred thirty-one thousand seven hundred thirteen
Ordinal
131713th
Binary
100000001010000001
Octal
401201
Hexadecimal
0x20281
Base64
AgKB
One's complement
4,294,835,582 (32-bit)
Scientific notation
1.31713 × 10⁵
As a duration
131,713 s = 1 day, 12 hours, 35 minutes, 13 seconds
In other bases
ternary (3) 20200200021
quaternary (4) 200022001
quinary (5) 13203323
senary (6) 2453441
septenary (7) 1056001
nonary (9) 220607
undecimal (11) 8aa5a
duodecimal (12) 64281
tridecimal (13) 47c4a
tetradecimal (14) 36001
pentadecimal (15) 2905d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψιγʹ
Mayan (base 20)
𝋰·𝋩·𝋥·𝋭
Chinese
一十三萬一千七百一十三
Chinese (financial)
壹拾參萬壹仟柒佰壹拾參
In other modern scripts
Eastern Arabic ١٣١٧١٣ Devanagari १३१७१३ Bengali ১৩১৭১৩ Tamil ௧௩௧௭௧௩ Thai ๑๓๑๗๑๓ Tibetan ༡༣༡༧༡༣ Khmer ១៣១៧១៣ Lao ໑໓໑໗໑໓ Burmese ၁၃၁၇၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131711.

Unicode codepoint
𠊁
CJK Unified Ideograph-20281
U+20281
Other letter (Lo)

UTF-8 encoding: F0 A0 8A 81 (4 bytes).

Hex color
#020281
RGB(2, 2, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.129.

Address
0.2.2.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.129

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 131,713 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.