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313302013 is a prime number
BaseRepresentation
bin10010101011001…
…001101111111101
3210211112101120021
4102223021233331
51120201131023
651031052141
710523010643
oct2253115775
9724471507
10313302013
1115093a492
1288b11051
134cba760b
142d877193
151c78a35d
hex12ac9bfd

313302013 has 2 divisors, whose sum is σ = 313302014. Its totient is φ = 313302012.

The previous prime is 313302007. The next prime is 313302019. The reversal of 313302013 is 310203313.

It is a balanced prime because it is at equal distance from previous prime (313302007) and next prime (313302019).

It can be written as a sum of positive squares in only one way, i.e., 283686649 + 29615364 = 16843^2 + 5442^2 .

It is a cyclic number.

It is not a de Polignac number, because 313302013 - 25 = 313301981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313302019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156651006 + 156651007.

It is an arithmetic number, because the mean of its divisors is an integer number (156651007).

Almost surely, 2313302013 is an apocalyptic number.

It is an amenable number.

313302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313302013 is an equidigital number, since it uses as much as digits as its factorization.

313302013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 313302013 is about 17700.3393470295. The cubic root of 313302013 is about 679.1844410786.

Adding to 313302013 its reverse (310203313), we get a palindrome (623505326).

The spelling of 313302013 in words is "three hundred thirteen million, three hundred two thousand, thirteen".