Properties of the Number 1313

One Thousand Three Hundred Thirteen

Basics

Value: 1312 → 1313 → 1314

Parity: odd

Prime: No

Previous Prime: 1307

Next Prime: 1319

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 13 × 101

Divisors: 1, 13, 101, 1313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10100100001

Octal: 2441

Duodecimal: 915

Hexadecimal: 521

Square: 1723969

Square Root: 36.235341863986875

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

Numbers k such that 10·R_k + 3 is prime, where R_k is the repunit (A002275) of length k. A56654

Sum of all parts of all partitions of n. A66186

Number of integer partitions of n with reverse-alternating sum >= 0. A344607

Doublets: base-10 representation is the juxtaposition of two identical strings. A20338

Number of integer partitions of 2n with reverse-alternating sum >= 0. A344611

Numbers > 1000 such that all the substrings of length = 3 are primes (substrings with leading '0' are considered to be nonprime). A211684

Numbers which are the sum of 3 nonzero 4th powers. A3337

Multiples of 13 containing a 13 in their decimal representation. A121033

a(n) = ∑_i=0..n (n!/(n-i)!)². A6040

Iterate the map in A006368 starting at 40. A182205