Search a number
-
+
113131 is a prime number
BaseRepresentation
bin11011100111101011
312202012001
4123213223
512110011
62231431
7650554
oct334753
9182161
10113131
1177aa7
1255577
133c655
142d32b
15237c1
hex1b9eb

113131 has 2 divisors, whose sum is σ = 113132. Its totient is φ = 113130.

The previous prime is 113123. The next prime is 113143. The reversal of 113131 is 131311.

It is a weak prime.

It is an emirp because it is prime and its reverse (131311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113131 - 23 = 113123 is a prime.

It is a super-2 number, since 2×1131312 = 25597246322, which contains 22 as substring.

113131 is a lucky number.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is not a weakly prime, because it can be changed into another prime (113111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56565 + 56566.

It is an arithmetic number, because the mean of its divisors is an integer number (56566).

2113131 is an apocalyptic number.

113131 is a deficient number, since it is larger than the sum of its proper divisors (1).

113131 is an equidigital number, since it uses as much as digits as its factorization.

113131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9, while the sum is 10.

The square root of 113131 is about 336.3495205883. The cubic root of 113131 is about 48.3645563880.

Adding to 113131 its reverse (131311), we get a palindrome (244442).

The spelling of 113131 in words is "one hundred thirteen thousand, one hundred thirty-one".