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131319381761 is a prime number
BaseRepresentation
bin111101001001100111…
…1101011111100000001
3110112221212120210010222
41322103033223330001
54122420230204021
6140154410032425
712326134220261
oct1722317537401
9415855523128
10131319381761
1150768405187
122154a718715
13c4ca3376b9
1464da7d37a1
153638ad16ab
hex1e933ebf01

131319381761 has 2 divisors, whose sum is σ = 131319381762. Its totient is φ = 131319381760.

The previous prime is 131319381727. The next prime is 131319381779. The reversal of 131319381761 is 167183913131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91775673025 + 39543708736 = 302945^2 + 198856^2 .

It is an emirp because it is prime and its reverse (167183913131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131319381761 - 210 = 131319380737 is a prime.

It is a super-2 number, since 2×1313193817612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131319581761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65659690880 + 65659690881.

It is an arithmetic number, because the mean of its divisors is an integer number (65659690881).

Almost surely, 2131319381761 is an apocalyptic number.

It is an amenable number.

131319381761 is a deficient number, since it is larger than the sum of its proper divisors (1).

131319381761 is an equidigital number, since it uses as much as digits as its factorization.

131319381761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 44.

The spelling of 131319381761 in words is "one hundred thirty-one billion, three hundred nineteen million, three hundred eighty-one thousand, seven hundred sixty-one".