Search a number
-
+
31333311131 is a prime number
BaseRepresentation
bin11101001011100111…
…000110001010011011
32222212200011010101212
4131023213012022123
51003132311424011
622221101333335
72156316515213
oct351347061233
988780133355
1031333311131
1112319923461
1260a556724b
132c546941b5
14173355b243
15c35be908b
hex74b9c629b

31333311131 has 2 divisors, whose sum is σ = 31333311132. Its totient is φ = 31333311130.

The previous prime is 31333311091. The next prime is 31333311137. The reversal of 31333311131 is 13111333313.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 31333311131 - 26 = 31333311067 is a prime.

It is a super-2 number, since 2×313333111312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31333311097 and 31333311106.

It is not a weakly prime, because it can be changed into another prime (31333311137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15666655565 + 15666655566.

It is an arithmetic number, because the mean of its divisors is an integer number (15666655566).

Almost surely, 231333311131 is an apocalyptic number.

31333311131 is a deficient number, since it is larger than the sum of its proper divisors (1).

31333311131 is an equidigital number, since it uses as much as digits as its factorization.

31333311131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 729, while the sum is 23.

Adding to 31333311131 its reverse (13111333313), we get a palindrome (44444644444).

The spelling of 31333311131 in words is "thirty-one billion, three hundred thirty-three million, three hundred eleven thousand, one hundred thirty-one".