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313111012213 is a prime number
BaseRepresentation
bin1001000111001101101…
…11101110001101110101
31002221012020121110100001
410203212313232031311
520112222404342323
6355501411351301
731423116455626
oct4434667561565
91087166543301
10313111012213
1111087600488a
12508242b2531
13236ac1cb5bc
1411224527a4d
15822873d3ad
hex48e6dee375

313111012213 has 2 divisors, whose sum is σ = 313111012214. Its totient is φ = 313111012212.

The previous prime is 313111012211. The next prime is 313111012273. The reversal of 313111012213 is 312210111313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 274263784804 + 38847227409 = 523702^2 + 197097^2 .

It is a cyclic number.

It is not a de Polignac number, because 313111012213 - 21 = 313111012211 is a prime.

Together with 313111012211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313111012211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156555506106 + 156555506107.

It is an arithmetic number, because the mean of its divisors is an integer number (156555506107).

Almost surely, 2313111012213 is an apocalyptic number.

It is an amenable number.

313111012213 is a deficient number, since it is larger than the sum of its proper divisors (1).

313111012213 is an equidigital number, since it uses as much as digits as its factorization.

313111012213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 313111012213 its reverse (312210111313), we get a palindrome (625321123526).

The spelling of 313111012213 in words is "three hundred thirteen billion, one hundred eleven million, twelve thousand, two hundred thirteen".