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1311313210301 is a prime number
BaseRepresentation
bin10011000101010000010…
…110111010101110111101
311122100201200011002020002
4103011100112322232331
5132441032140212201
62442224201004045
7163511364243653
oct23052026725675
94570650132202
101311313210301
11466141137576
12192184183625
139686bb96713
1447679caadd3
152419c23276b
hex131505babbd

1311313210301 has 2 divisors, whose sum is σ = 1311313210302. Its totient is φ = 1311313210300.

The previous prime is 1311313210289. The next prime is 1311313210313. The reversal of 1311313210301 is 1030123131131.

It is a balanced prime because it is at equal distance from previous prime (1311313210289) and next prime (1311313210313).

It can be written as a sum of positive squares in only one way, i.e., 973525582276 + 337787628025 = 986674^2 + 581195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1311313210301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1311313210331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655656605150 + 655656605151.

It is an arithmetic number, because the mean of its divisors is an integer number (655656605151).

Almost surely, 21311313210301 is an apocalyptic number.

It is an amenable number.

1311313210301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311313210301 is an equidigital number, since it uses as much as digits as its factorization.

1311313210301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1311313210301 its reverse (1030123131131), we get a palindrome (2341436341432).

The spelling of 1311313210301 in words is "one trillion, three hundred eleven billion, three hundred thirteen million, two hundred ten thousand, three hundred one".