number.wiki
Live analysis

131,363

131,363 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.).

131,363 (one hundred thirty-one thousand three hundred sixty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20123.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
162
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
363,131
Square (n²)
17,256,237,769
Cube (n³)
2,266,831,162,049,147
Divisor count
2
σ(n) — sum of divisors
131,364
φ(n) — Euler's totient
131,362

Primality

131,363 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131363
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,363)
1 × 131363
First multiples
131,363 · 262,726 (double) · 394,089 · 525,452 · 656,815 · 788,178 · 919,541 · 1,050,904 · 1,182,267 · 1,313,630

Sums & aliquot sequence

As consecutive integers: 65,681 + 65,682

Continued fraction of √n

√131,363 = [362; (2, 3, 1, 2, 4, 2, 1, 7, 2, 4, 1, 50, 1, 24, 65, 1, 6, 18, 1, 13, 1, 5, 2, 13, …)]

Representations

In words
one hundred thirty-one thousand three hundred sixty-three
Ordinal
131363rd
Binary
100000000100100011
Octal
400443
Hexadecimal
0x20123
Base64
AgEj
One's complement
4,294,835,932 (32-bit)
Scientific notation
1.31363 × 10⁵
As a duration
131,363 s = 1 day, 12 hours, 29 minutes, 23 seconds
In other bases
ternary (3) 20200012022
quaternary (4) 200010203
quinary (5) 13200423
senary (6) 2452055
septenary (7) 1054661
nonary (9) 220168
undecimal (11) 8a771
duodecimal (12) 6402b
tridecimal (13) 47a3b
tetradecimal (14) 35c31
pentadecimal (15) 28dc8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλατξγʹ
Mayan (base 20)
𝋰·𝋨·𝋨·𝋣
Chinese
一十三萬一千三百六十三
Chinese (financial)
壹拾參萬壹仟參佰陸拾參
In other modern scripts
Eastern Arabic ١٣١٣٦٣ Devanagari १३१३६३ Bengali ১৩১৩৬৩ Tamil ௧௩௧௩௬௩ Thai ๑๓๑๓๖๓ Tibetan ༡༣༡༣༦༣ Khmer ១៣១៣៦៣ Lao ໑໓໑໓໖໓ Burmese ၁၃၁၃၆၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131357.

Unicode codepoint
𠄣
CJK Unified Ideograph-20123
U+20123
Other letter (Lo)

UTF-8 encoding: F0 A0 84 A3 (4 bytes).

Hex color
#020123
RGB(2, 1, 35)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.35.

Address
0.2.1.35
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.35

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 131,363 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.