Properties of the Number 1013

One Thousand Thirteen

Basics

Value: 1012 → 1013 → 1014

Parity: odd

Prime: Yes

Previous Prime: 1009

Next Prime: 1019

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 1013

Divisors: 1, 1013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111110101

Octal: 1765

Duodecimal: 705

Hexadecimal: 3f5

Square: 1026169

Square Root: 31.827660925679098

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Sophie Germain primes p: 2p+1 is also prime. A5384

Triangle of Eulerian numbers T(n,k) (n >= 1, 1 <= k <= n) read by rows. A8292

Centered square numbers: a(n) = 2·n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values. A1844

Eulerian numbers (Euler's triangle: column k=2 of A008292, column k=1 of A173018). A295

Euler's triangle: triangle of Eulerian numbers T(n,k) (n>=0, 0 <= k <= n) read by rows. A173018

Triangle T(n,k) read by rows: T(n,k) is the number of compositions of n with k descents, n>=0, 0<=k<=n. A238343

a(n) = ceiling(n²/2). A982

Triangle of Eulerian numbers T(n,k), 0 <= k <= n, read by rows. A123125

Numbers k such that 100^k - 99^k is prime. A62666

Primes whose decimal representation is a valid number in base 4 and interpreted as such is again a prime. A90707