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313312333013 is a prime number
BaseRepresentation
bin1001000111100101101…
…11101100110011010101
31002221201021102121112222
410203302313230303111
520113130424124023
6355533402352125
731431112614011
oct4436267546325
91087637377488
10313312333013
1111096970a109
125087b7bb645
1323711b28b34
1411243171541
15823b258cc8
hex48f2deccd5

313312333013 has 2 divisors, whose sum is σ = 313312333014. Its totient is φ = 313312333012.

The previous prime is 313312333001. The next prime is 313312333039. The reversal of 313312333013 is 310333213313.

It is a happy number.

It is an a-pointer prime, because the next prime (313312333039) can be obtained adding 313312333013 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218778836644 + 94533496369 = 467738^2 + 307463^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313312333013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313312333513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156656166506 + 156656166507.

It is an arithmetic number, because the mean of its divisors is an integer number (156656166507).

Almost surely, 2313312333013 is an apocalyptic number.

It is an amenable number.

313312333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313312333013 is an equidigital number, since it uses as much as digits as its factorization.

313312333013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 313312333013 its reverse (310333213313), we get a palindrome (623645546326).

The spelling of 313312333013 in words is "three hundred thirteen billion, three hundred twelve million, three hundred thirty-three thousand, thirteen".