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122013113317 is a prime number
BaseRepresentation
bin111000110100010001…
…1000101101111100101
3102122221022012100210221
41301220203011233211
53444340324111232
6132015124244341
711546412231304
oct1615043055745
9378838170727
10122013113317
1147822248a37
121b791b406b1
13b6762a3394
145c9685643b
153291aa8897
hex1c688c5be5

122013113317 has 2 divisors, whose sum is σ = 122013113318. Its totient is φ = 122013113316.

The previous prime is 122013113297. The next prime is 122013113323. The reversal of 122013113317 is 713311310221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108039745636 + 13973367681 = 328694^2 + 118209^2 .

It is a cyclic number.

It is not a de Polignac number, because 122013113317 - 215 = 122013080549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122013113291 and 122013113300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122013113347) 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, 61006556658 + 61006556659.

It is an arithmetic number, because the mean of its divisors is an integer number (61006556659).

Almost surely, 2122013113317 is an apocalyptic number.

It is an amenable number.

122013113317 is a deficient number, since it is larger than the sum of its proper divisors (1).

122013113317 is an equidigital number, since it uses as much as digits as its factorization.

122013113317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 122013113317 its reverse (713311310221), we get a palindrome (835324423538).

The spelling of 122013113317 in words is "one hundred twenty-two billion, thirteen million, one hundred thirteen thousand, three hundred seventeen".