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313422033013 is a prime number
BaseRepresentation
bin1001000111110010110…
…10001011000001110101
31002221222220211221122221
410203321122023001311
520113342020024023
6355552321522341
731433614216045
oct4437132130165
91087886757587
10313422033013
11110a15626371
12508b04a33b1
132372b78778b
1411253969725
158245bc785d
hex48f968b075

313422033013 has 2 divisors, whose sum is σ = 313422033014. Its totient is φ = 313422033012.

The previous prime is 313422032981. The next prime is 313422033037. The reversal of 313422033013 is 310330224313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304906065489 + 8515967524 = 552183^2 + 92282^2 .

It is an emirp because it is prime and its reverse (310330224313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313422033013 - 25 = 313422032981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313422033313) 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, 156711016506 + 156711016507.

It is an arithmetic number, because the mean of its divisors is an integer number (156711016507).

Almost surely, 2313422033013 is an apocalyptic number.

It is an amenable number.

313422033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313422033013 is an equidigital number, since it uses as much as digits as its factorization.

313422033013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 313422033013 its reverse (310330224313), we get a palindrome (623752257326).

The spelling of 313422033013 in words is "three hundred thirteen billion, four hundred twenty-two million, thirty-three thousand, thirteen".