Search a number
-
+
131312121331 is a prime number
BaseRepresentation
bin111101001001011001…
…1111111010111110011
3110112221100220220201011
41322102303333113303
54122411400340311
6140153550251351
712326015420656
oct1722263772763
9415840826634
10131312121331
11507642a6326
12215481b6b57
13c4c8994aa1
1464d986389d
15363814a321
hex1e92cff5f3

131312121331 has 2 divisors, whose sum is σ = 131312121332. Its totient is φ = 131312121330.

The previous prime is 131312121233. The next prime is 131312121337. The reversal of 131312121331 is 133121213131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 131312121331 - 215 = 131312088563 is a prime.

It is a super-2 number, since 2×1313121213312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131312121337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656060665 + 65656060666.

It is an arithmetic number, because the mean of its divisors is an integer number (65656060666).

Almost surely, 2131312121331 is an apocalyptic number.

131312121331 is a deficient number, since it is larger than the sum of its proper divisors (1).

131312121331 is an equidigital number, since it uses as much as digits as its factorization.

131312121331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 22.

Adding to 131312121331 its reverse (133121213131), we get a palindrome (264433334462).

The spelling of 131312121331 in words is "one hundred thirty-one billion, three hundred twelve million, one hundred twenty-one thousand, three hundred thirty-one".