131

131
Basic Information
Cardinal Number	one hundred and thirty-one
Ordinal Number	one hundred and thirty first
Roman Numeral	CXXXI
Greek Numeral	ΡΛΑ´
Factorization	131
Standard Form	1.31 × 102
Different Representations
Binary Form	100000112
Ternary Form	112123
Quaternary Form	20034
Quinary Form	10115
Senary Form	3356
Septenary Form	2457
Octal Form	2038
Nonary Form	1559
Undecimal Form	10A11
Duodecimal Form	AB12
Tridecimal Form	A113
Quattuordecimal Form	9514
Quindecimal Form	8B15
Hexadecimal Form	8316
Septendecimal Form	7C17
Octodecimal Form	7518
Novemdecimal Form	6H19
Vigesimal Form	6B20
Unvigesimal Form	6521
Duovigesimal Form	5L22
Trevigesimal Form	5G23
Quattuorvigesimal Form	5B24
Quinvigesimal Form	5625
Hexavigesimal Form	5126
Septenvigesimal Form	4N27
Octovigesimal Form	4J28
Novemvigesimal Form	4F29
Trigesimal Form	4B30
Untrigesimal Form	4731
Duotrigesimal Form	4332
Tretrigesimal Form	3W33
Quattuortrigesimal Form	3T34
Quintrigesimal Form	3Q35
Hexatrigesimal Form	3N36
Previous	127
Current	131
Next	137

131 is a 3-digit prime number. 131 has 2 factors, 1 and 131. It is the 32nd prime number, and the seventh prime number from 101-200.

Proofs

• — 131 is divisible by 1.

• — 131 is not divisible by 2-130.

• — 131 is divisible by 131.

Therefore, 131 is a prime number.

As an Exponent of Mersenne Number

2¹³¹ - 1 is divisible by 263, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

• 113 is the second previous prime number.
• 127 is the previous prime number.
  • The difference between 131 and 127 is 4. Therefore, they are cousin primes.
  • Additionally, the difference between 127 and 113 is 14, which is the largest gap between two consecutive prime numbers between 1 and 200.
• 129 is a composite number; its prime factorization is 3 × 43.

The numbers after

• 133 is the next odd number. It is a composite number; its prime factorization is 7 × 19.
• 135 is a composite number; its prime factorization is 3³ × 5.
• 137 is the prime number following 131.
  • The difference between 137 and 131 is 6. Therefore, they are sexy primes.
• 139 is the prime number following 137.

Trivia

• 131 is a Sophie Germain prime, since 131 × 2 + 1 = 263 is also prime.
• 131 is a Chen prime, since 131 + 2 = 133 is a semiprime.
• 131 is the second palindromic prime with 3 digits.
• 131 is a permutable prime with 113 and 311.
• 131 can be expressed as the sum of three consecutive prime numbers (41 + 43 + 47).

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Prime Numbers 1-1,000