Search a number
-
+
12331313340131 is a prime number
BaseRepresentation
bin1011001101110001101110…
…0011010001111011100011
31121122212021102120121212202
42303130123203101323203
53104014012203341011
642120532132443415
72411623303644602
oct263343343217343
947585242517782
1012331313340131
113a247539a3aa5
121471a83a7956b
136b5ab7a0c506
14308ba575da39
15165b7468123b
hexb371b8d1ee3

12331313340131 has 2 divisors, whose sum is σ = 12331313340132. Its totient is φ = 12331313340130.

The previous prime is 12331313340121. The next prime is 12331313340139. The reversal of 12331313340131 is 13104331313321.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (13104331313321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12331313340131 is a prime.

It is a super-2 number, since 2×123313133401312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12331313340094 and 12331313340103.

It is not a weakly prime, because it can be changed into another prime (12331313340139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165656670065 + 6165656670066.

It is an arithmetic number, because the mean of its divisors is an integer number (6165656670066).

Almost surely, 212331313340131 is an apocalyptic number.

12331313340131 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331313340131 is an equidigital number, since it uses as much as digits as its factorization.

12331313340131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 12331313340131 its reverse (13104331313321), we get a palindrome (25435644653452).

The spelling of 12331313340131 in words is "twelve trillion, three hundred thirty-one billion, three hundred thirteen million, three hundred forty thousand, one hundred thirty-one".