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131023331017 is a prime number
BaseRepresentation
bin111101000000110011…
…0010101111011001001
3110112012020111211212121
41322001212111323021
54121313433043032
6140105152411241
712315610636465
oct1720146257311
9415166454777
10131023331017
1150626288947
1221487546b21
13c480bc0347
1464ad36b4a5
15361cb02a97
hex1e81995ec9

131023331017 has 2 divisors, whose sum is σ = 131023331018. Its totient is φ = 131023331016.

The previous prime is 131023330951. The next prime is 131023331027. The reversal of 131023331017 is 710133320131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109368442681 + 21654888336 = 330709^2 + 147156^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131023331017 is a prime.

It is a super-2 number, since 2×1310233310172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131023330982 and 131023331000.

It is not a weakly prime, because it can be changed into another prime (131023331027) 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, 65511665508 + 65511665509.

It is an arithmetic number, because the mean of its divisors is an integer number (65511665509).

Almost surely, 2131023331017 is an apocalyptic number.

It is an amenable number.

131023331017 is a deficient number, since it is larger than the sum of its proper divisors (1).

131023331017 is an equidigital number, since it uses as much as digits as its factorization.

131023331017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 131023331017 its reverse (710133320131), we get a palindrome (841156651148).

The spelling of 131023331017 in words is "one hundred thirty-one billion, twenty-three million, three hundred thirty-one thousand, seventeen".