133,013
133,013 is a prime, odd.
133,013 (one hundred thirty-three thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20795.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 310,331
- Square (n²)
- 17,692,458,169
- Cube (n³)
- 2,353,326,938,433,197
- Divisor count
- 2
- σ(n) — sum of divisors
- 133,014
- φ(n) — Euler's totient
- 133,012
Primality
133,013 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,013 = [364; (1, 2, 2, 3, 1, 4, 3, 16, 3, 1, 3, 7, 1, 13, 6, 1, 2, 1, 11, 1, 1, 1, 1, 1, …)]
Representations
- In words
- one hundred thirty-three thousand thirteen
- Ordinal
- 133013th
- Binary
- 100000011110010101
- Octal
- 403625
- Hexadecimal
- 0x20795
- Base64
- AgeV
- One's complement
- 4,294,834,282 (32-bit)
- Scientific notation
- 1.33013 × 10⁵
- As a duration
- 133,013 s = 1 day, 12 hours, 56 minutes, 53 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγιγʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋪·𝋭
- Chinese
- 一十三萬三千零一十三
- Chinese (financial)
- 壹拾參萬參仟零壹拾參
Also seen as
UTF-8 encoding: F0 A0 9E 95 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.149.
- Address
- 0.2.7.149
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.7.149
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 133,013 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.