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131123311199 is a prime number
BaseRepresentation
bin111101000011110001…
…1101111001001011111
3110112110012122100220022
41322013203233021133
54122020031424244
6140123123342355
712321233520056
oct1720743571137
9415405570808
10131123311199
11506777664a1
12214b4b219bb
13c498827b0a
1464bc75539d
1536267a16ee
hex1e878ef25f

131123311199 has 2 divisors, whose sum is σ = 131123311200. Its totient is φ = 131123311198.

The previous prime is 131123311183. The next prime is 131123311211. The reversal of 131123311199 is 991113321131.

It is a strong prime.

It is an emirp because it is prime and its reverse (991113321131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131123311199 - 24 = 131123311183 is a prime.

It is a super-3 number, since 3×1311233111993 (a number of 34 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131123311169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65561655599 + 65561655600.

It is an arithmetic number, because the mean of its divisors is an integer number (65561655600).

Almost surely, 2131123311199 is an apocalyptic number.

131123311199 is a deficient number, since it is larger than the sum of its proper divisors (1).

131123311199 is an equidigital number, since it uses as much as digits as its factorization.

131123311199 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 35.

The spelling of 131123311199 in words is "one hundred thirty-one billion, one hundred twenty-three million, three hundred eleven thousand, one hundred ninety-nine".