Search a number
-
+
1131301311311 is a prime number
BaseRepresentation
bin10000011101100110110…
…100000001001101001111
311000011002100000010122002
4100131212310001031033
5122013401113430221
62223413533142515
7144506462324633
oct20354664011517
94004070003562
101131301311311
113a6867108516
1216330662aa3b
13828b1947162
143ca80694dc3
151e66397880b
hex10766d0134f

1131301311311 has 2 divisors, whose sum is σ = 1131301311312. Its totient is φ = 1131301311310.

The previous prime is 1131301311299. The next prime is 1131301311319. The reversal of 1131301311311 is 1131131031311.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1131301311311 - 210 = 1131301310287 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1131301311319) 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, 565650655655 + 565650655656.

It is an arithmetic number, because the mean of its divisors is an integer number (565650655656).

Almost surely, 21131301311311 is an apocalyptic number.

1131301311311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131301311311 is an equidigital number, since it uses as much as digits as its factorization.

1131301311311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 1131301311311 its reverse (1131131031311), we get a palindrome (2262432342622).

The spelling of 1131301311311 in words is "one trillion, one hundred thirty-one billion, three hundred one million, three hundred eleven thousand, three hundred eleven".