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313002211133 is a prime number
BaseRepresentation
bin1001000111000000110…
…00101011011100111101
31002220220122212210022102
410203200120223130331
520112012031224013
6355442523354445
731420325616413
oct4434030533475
91086818783272
10313002211133
1111081a651a37
12507b3982a25
13236927c5b71
1411213cc52b3
15821ddead58
hex48e062b73d

313002211133 has 2 divisors, whose sum is σ = 313002211134. Its totient is φ = 313002211132.

The previous prime is 313002211099. The next prime is 313002211183. The reversal of 313002211133 is 331112200313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312997729444 + 4481689 = 559462^2 + 2117^2 .

It is a cyclic number.

It is not a de Polignac number, because 313002211133 - 210 = 313002210109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313002211183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156501105566 + 156501105567.

It is an arithmetic number, because the mean of its divisors is an integer number (156501105567).

Almost surely, 2313002211133 is an apocalyptic number.

It is an amenable number.

313002211133 is a deficient number, since it is larger than the sum of its proper divisors (1).

313002211133 is an equidigital number, since it uses as much as digits as its factorization.

313002211133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 313002211133 its reverse (331112200313), we get a palindrome (644114411446).

The spelling of 313002211133 in words is "three hundred thirteen billion, two million, two hundred eleven thousand, one hundred thirty-three".