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311320223113 is a prime number
BaseRepresentation
bin1001000011111000010…
…00011001110110001001
31002202120102220221111211
410201330020121312021
520100040434114423
6355004000453121
731330543143304
oct4417410316611
91082512827454
10311320223113
11110037171499
125040461a1a1
13234851b4b93
14110d476bb3b
15817140410d
hex487c219d89

311320223113 has 2 divisors, whose sum is σ = 311320223114. Its totient is φ = 311320223112.

The previous prime is 311320223101. The next prime is 311320223131. The reversal of 311320223113 is 311322023113.

Together with next prime (311320223131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194911654144 + 116408568969 = 441488^2 + 341187^2 .

It is a cyclic number.

It is not a de Polignac number, because 311320223113 - 213 = 311320214921 is a prime.

It is a super-3 number, since 3×3113202231133 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (311320223183) 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, 155660111556 + 155660111557.

It is an arithmetic number, because the mean of its divisors is an integer number (155660111557).

Almost surely, 2311320223113 is an apocalyptic number.

It is an amenable number.

311320223113 is a deficient number, since it is larger than the sum of its proper divisors (1).

311320223113 is an equidigital number, since it uses as much as digits as its factorization.

311320223113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 311320223113 its reverse (311322023113), we get a palindrome (622642246226).

The spelling of 311320223113 in words is "three hundred eleven billion, three hundred twenty million, two hundred twenty-three thousand, one hundred thirteen".