1013

Names of 1013

• Cardinal: 1013 can be written as One thousand and thirteen.

Scientific notation

• Scientific notation: 1.013 × 10³

Factors of 1013

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1013

Divisors of 1013

• Number of divisors d(n): 2
• Complete list of divisors:
  1 1013
• Sum of all divisors σ(n): 1014
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1013 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1012

Bases of 1013

• Binary: 1111110101₂
• Hexadecimal: 0x3F5
• Base-36: S5

Squares and roots of 1013

• 1013 squared (1013²) is 1026169
• 1013 cubed (1013³) is 1039509197
• The square root of 1013 is 31.8276609255
• The cube root of 1013 is 10.0431469001

Scales and comparisons

• 1,013 seconds is equal to 16 minutes, 53 seconds.
• To count from 1 to 1,013 would take you about sixteen minutes.

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 1013 cubic inches would be around 0.8 feet tall.

Recreational maths with 1013

• 1013 backwards is 3101
• The number of decimal digits it has is: 4
• The sum of 1013's digits is 5
• More coming soon!