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1312311111101 is a prime number
BaseRepresentation
bin10011000110001011110…
…101100110110110111101
311122110022012212200202222
4103012023311212312331
5133000103121023401
62442511205255125
7163545202252514
oct23061365466675
94573265780688
101312311111101
11466603457181
121924024044a5
139699a84a273
144773262d67b
1524209b4bc1b
hex1318bd66dbd

1312311111101 has 2 divisors, whose sum is σ = 1312311111102. Its totient is φ = 1312311111100.

The previous prime is 1312311111073. The next prime is 1312311111161. The reversal of 1312311111101 is 1011111132131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 842037475876 + 470273635225 = 917626^2 + 685765^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1312311111101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1312311111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1312311111161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656155555550 + 656155555551.

It is an arithmetic number, because the mean of its divisors is an integer number (656155555551).

Almost surely, 21312311111101 is an apocalyptic number.

It is an amenable number.

1312311111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312311111101 is an equidigital number, since it uses as much as digits as its factorization.

1312311111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 1312311111101 its reverse (1011111132131), we get a palindrome (2323422243232).

The spelling of 1312311111101 in words is "one trillion, three hundred twelve billion, three hundred eleven million, one hundred eleven thousand, one hundred one".