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123113131123 is a prime number
BaseRepresentation
bin111001010101000011…
…1010100110001110011
3102202202222002001120011
41302222013110301303
54004113430143443
6132320221355351
711615600230303
oct1625207246163
9382688061504
10123113131123
1148237175664
121ba3a408b57
13b7c015c1a8
145d5c99b603
153308444b9d
hex1caa1d4c73

123113131123 has 2 divisors, whose sum is σ = 123113131124. Its totient is φ = 123113131122.

The previous prime is 123113131061. The next prime is 123113131189. The reversal of 123113131123 is 321131311321.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123113131123 is a prime.

It is a super-2 number, since 2×1231131311232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123113131094 and 123113131103.

It is not a weakly prime, because it can be changed into another prime (123113137123) 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, 61556565561 + 61556565562.

It is an arithmetic number, because the mean of its divisors is an integer number (61556565562).

Almost surely, 2123113131123 is an apocalyptic number.

123113131123 is a deficient number, since it is larger than the sum of its proper divisors (1).

123113131123 is an equidigital number, since it uses as much as digits as its factorization.

123113131123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 22.

Adding to 123113131123 its reverse (321131311321), we get a palindrome (444244442444).

The spelling of 123113131123 in words is "one hundred twenty-three billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred twenty-three".