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122313130013 is a prime number
BaseRepresentation
bin111000111101001101…
…1100100000000011101
3102200201012201210100102
41301322123210000131
54000444130130023
6132105002510445
711560014310454
oct1617233440035
9380635653312
10122313130013
1147966633a18
121b856505425
13b6c34a8959
145cc4631b9b
1532ad0bc628
hex1c7a6e401d

122313130013 has 2 divisors, whose sum is σ = 122313130014. Its totient is φ = 122313130012.

The previous prime is 122313129919. The next prime is 122313130087. The reversal of 122313130013 is 310031313221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112019404249 + 10293725764 = 334693^2 + 101458^2 .

It is a cyclic number.

It is not a de Polignac number, because 122313130013 - 210 = 122313128989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122313130613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156565006 + 61156565007.

It is an arithmetic number, because the mean of its divisors is an integer number (61156565007).

Almost surely, 2122313130013 is an apocalyptic number.

It is an amenable number.

122313130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313130013 is an equidigital number, since it uses as much as digits as its factorization.

122313130013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 122313130013 its reverse (310031313221), we get a palindrome (432344443234).

The spelling of 122313130013 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred thirty thousand, thirteen".