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122300121313 is a prime number
BaseRepresentation
bin111000111100110100…
…1111100000011100001
3102200200022020212202201
41301321221330003201
54000432312340223
6132103420013201
711556465610306
oct1617151740341
9380608225681
10122300121313
114795a259327
121b852091201
13b6c08a27b6
145cc2a070ad
1532abd9cead
hex1c79a7c0e1

122300121313 has 2 divisors, whose sum is σ = 122300121314. Its totient is φ = 122300121312.

The previous prime is 122300121301. The next prime is 122300121331. The reversal of 122300121313 is 313121003221.

Together with next prime (122300121331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62126559504 + 60173561809 = 249252^2 + 245303^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122300121313 is a prime.

It is not a weakly prime, because it can be changed into another prime (122300124313) 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, 61150060656 + 61150060657.

It is an arithmetic number, because the mean of its divisors is an integer number (61150060657).

Almost surely, 2122300121313 is an apocalyptic number.

It is an amenable number.

122300121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122300121313 is an equidigital number, since it uses as much as digits as its factorization.

122300121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 122300121313 its reverse (313121003221), we get a palindrome (435421124534).

The spelling of 122300121313 in words is "one hundred twenty-two billion, three hundred million, one hundred twenty-one thousand, three hundred thirteen".