Search a number
-
+
3313133331331 is a prime number
BaseRepresentation
bin110000001101100110001…
…000101010001110000011
3102201201202221212122212011
4300031212020222032003
5413240244113100311
611014011001313351
7461236350441235
oct60154610521603
912651687778764
103313133331331
11106810143520a
12456135795857
131b0572544385
14b64dc390255
155b2aede0321
hex3036622a383

3313133331331 has 2 divisors, whose sum is σ = 3313133331332. Its totient is φ = 3313133331330.

The previous prime is 3313133331317. The next prime is 3313133331341. The reversal of 3313133331331 is 1331333313133.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3313133331331 - 27 = 3313133331203 is a prime.

It is a super-2 number, since 2×33131333313312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3313133331293 and 3313133331302.

It is not a weakly prime, because it can be changed into another prime (3313133331341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1656566665665 + 1656566665666.

It is an arithmetic number, because the mean of its divisors is an integer number (1656566665666).

Almost surely, 23313133331331 is an apocalyptic number.

3313133331331 is a deficient number, since it is larger than the sum of its proper divisors (1).

3313133331331 is an equidigital number, since it uses as much as digits as its factorization.

3313133331331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19683, while the sum is 31.

Adding to 3313133331331 its reverse (1331333313133), we get a palindrome (4644466644464).

The spelling of 3313133331331 in words is "three trillion, three hundred thirteen billion, one hundred thirty-three million, three hundred thirty-one thousand, three hundred thirty-one".