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123113020223201 is a prime number
BaseRepresentation
bin11011111111100001111011…
…110101100110111011100001
3121010220111020001112112010012
4123333201323311212323201
5112114040431134120301
61113501201332014305
734634423260403201
oct3377417365467341
9533814201475105
10123113020223201
1136255a36403428
1211984165461395
13539067b09bb98
1422589b82d8401
15e376bb1ccebb
hex6ff87bd66ee1

123113020223201 has 2 divisors, whose sum is σ = 123113020223202. Its totient is φ = 123113020223200.

The previous prime is 123113020223159. The next prime is 123113020223231. The reversal of 123113020223201 is 102322020311321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115279733185600 + 7833287037601 = 10736840^2 + 2798801^2 .

It is a cyclic number.

It is not a de Polignac number, because 123113020223201 - 246 = 52744276045537 is a prime.

It is not a weakly prime, because it can be changed into another prime (123113020223231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61556510111600 + 61556510111601.

It is an arithmetic number, because the mean of its divisors is an integer number (61556510111601).

Almost surely, 2123113020223201 is an apocalyptic number.

It is an amenable number.

123113020223201 is a deficient number, since it is larger than the sum of its proper divisors (1).

123113020223201 is an equidigital number, since it uses as much as digits as its factorization.

123113020223201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 123113020223201 its reverse (102322020311321), we get a palindrome (225435040534522).

The spelling of 123113020223201 in words is "one hundred twenty-three trillion, one hundred thirteen billion, twenty million, two hundred twenty-three thousand, two hundred one".