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14311304313113 is a prime number
BaseRepresentation
bin1101000001000001110000…
…1101011011100100011001
31212200010222101220120212002
43100100130031123210121
53333434022401004423
650234304502530345
73004646314351133
oct320203415334431
955603871816762
1014311304313113
11461843220a715
121731762a369b5
137ca71ca58212
14376956a58053
1519c40ac0d228
hexd041c35b919

14311304313113 has 2 divisors, whose sum is σ = 14311304313114. Its totient is φ = 14311304313112.

The previous prime is 14311304313083. The next prime is 14311304313139. The reversal of 14311304313113 is 31131340311341.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13118036465689 + 1193267847424 = 3621883^2 + 1092368^2 .

It is a cyclic number.

It is not a de Polignac number, because 14311304313113 - 226 = 14311237204249 is a prime.

It is a super-2 number, since 2×143113043131132 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (14311304313013) 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, 7155652156556 + 7155652156557.

It is an arithmetic number, because the mean of its divisors is an integer number (7155652156557).

Almost surely, 214311304313113 is an apocalyptic number.

It is an amenable number.

14311304313113 is a deficient number, since it is larger than the sum of its proper divisors (1).

14311304313113 is an equidigital number, since it uses as much as digits as its factorization.

14311304313113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 14311304313113 its reverse (31131340311341), we get a palindrome (45442644624454).

The spelling of 14311304313113 in words is "fourteen trillion, three hundred eleven billion, three hundred four million, three hundred thirteen thousand, one hundred thirteen".