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313011210132013 is a prime number
BaseRepresentation
bin100011100101011101001100…
…1111111011001101000101101
31112001021120122102021211022011
41013022322121333121220231
5312011333424243211023
63025415210444521221
7122634212404011211
oct10712723177315055
91461246572254264
10313011210132013
119080a343a30328
122b133804b50211
1310586aa46ab833
145741b755ca941
15262c21724150d
hex11cae99fd9a2d

313011210132013 has 2 divisors, whose sum is σ = 313011210132014. Its totient is φ = 313011210132012.

The previous prime is 313011210131929. The next prime is 313011210132053. The reversal of 313011210132013 is 310231012110313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 290667787236324 + 22343422895689 = 17048982^2 + 4726883^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313011210132013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313011210132053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156505605066006 + 156505605066007.

It is an arithmetic number, because the mean of its divisors is an integer number (156505605066007).

Almost surely, 2313011210132013 is an apocalyptic number.

It is an amenable number.

313011210132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011210132013 is an equidigital number, since it uses as much as digits as its factorization.

313011210132013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 313011210132013 its reverse (310231012110313), we get a palindrome (623242222242326).

The spelling of 313011210132013 in words is "three hundred thirteen trillion, eleven billion, two hundred ten million, one hundred thirty-two thousand, thirteen".