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313312213 is a prime number
BaseRepresentation
bin10010101011001…
…100001111010101
3210211112220120001
4102223030033111
51120201442323
651031211301
710523052454
oct2253141725
9724486501
10313312213
11150947115
1288b16b31
134cbac156
142d87ab9b
151c78d3ad
hex12acc3d5

313312213 has 2 divisors, whose sum is σ = 313312214. Its totient is φ = 313312212.

The previous prime is 313312123. The next prime is 313312217. The reversal of 313312213 is 312213313.

Together with previous prime (313312123) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311769649 + 1542564 = 17657^2 + 1242^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313312213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313312217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156656106 + 156656107.

It is an arithmetic number, because the mean of its divisors is an integer number (156656107).

Almost surely, 2313312213 is an apocalyptic number.

It is an amenable number.

313312213 is a deficient number, since it is larger than the sum of its proper divisors (1).

313312213 is an equidigital number, since it uses as much as digits as its factorization.

313312213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 19.

The square root of 313312213 is about 17700.6274747535. The cubic root of 313312213 is about 679.1918116091.

Adding to 313312213 its reverse (312213313), we get a palindrome (625525526).

The spelling of 313312213 in words is "three hundred thirteen million, three hundred twelve thousand, two hundred thirteen".