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313111012013 is a prime number
BaseRepresentation
bin1001000111001101101…
…11101110001010101101
31002221012020121110001122
410203212313232022231
520112222404341023
6355501411350325
731423116455222
oct4434667561255
91087166543048
10313111012013
11110876004718
12508242b23a5
13236ac1cb497
1411224527949
15822873d2c8
hex48e6dee2ad

313111012013 has 2 divisors, whose sum is σ = 313111012014. Its totient is φ = 313111012012.

The previous prime is 313111011977. The next prime is 313111012061. The reversal of 313111012013 is 310210111313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312522367369 + 588644644 = 559037^2 + 24262^2 .

It is a cyclic number.

It is not a de Polignac number, because 313111012013 - 28 = 313111011757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313111011982 and 313111012000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313111012213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156555506006 + 156555506007.

It is an arithmetic number, because the mean of its divisors is an integer number (156555506007).

Almost surely, 2313111012013 is an apocalyptic number.

It is an amenable number.

313111012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313111012013 is an equidigital number, since it uses as much as digits as its factorization.

313111012013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 313111012013 its reverse (310210111313), we get a palindrome (623321123326).

The spelling of 313111012013 in words is "three hundred thirteen billion, one hundred eleven million, twelve thousand, thirteen".