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323211101313013 is a prime number
BaseRepresentation
bin100100101111101010111001…
…0111000011001011111110101
31120101101200100101001012000121
41021133111302320121133311
5314330442313414004023
63103225044035411541
7125036142252360124
oct11137256270313765
91511350311035017
10323211101313013
1193a92070660191
1230300587a53bb1
1310b468a3445584
1459b5702191abb
1527576e0cb0d5d
hex125f572e197f5

323211101313013 has 2 divisors, whose sum is σ = 323211101313014. Its totient is φ = 323211101313012.

The previous prime is 323211101313011. The next prime is 323211101313017. The reversal of 323211101313013 is 310313101112323.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307143045097009 + 16068056216004 = 17525497^2 + 4008498^2 .

It is a cyclic number.

It is not a de Polignac number, because 323211101313013 - 21 = 323211101313011 is a prime.

Together with 323211101313011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (323211101313011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161605550656506 + 161605550656507.

It is an arithmetic number, because the mean of its divisors is an integer number (161605550656507).

Almost surely, 2323211101313013 is an apocalyptic number.

It is an amenable number.

323211101313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

323211101313013 is an equidigital number, since it uses as much as digits as its factorization.

323211101313013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 323211101313013 its reverse (310313101112323), we get a palindrome (633524202425336).

The spelling of 323211101313013 in words is "three hundred twenty-three trillion, two hundred eleven billion, one hundred one million, three hundred thirteen thousand, thirteen".