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131023131413 is a prime number
BaseRepresentation
bin111101000000110010…
…1100101001100010101
3110112012020010201001212
41322001211211030111
54121313410201123
6140105144231205
712315606145526
oct1720145451425
9415166121055
10131023131413
1150626161989
122148746b505
13c480b50535
1464ad31884d
15361cab3878
hex1e81965315

131023131413 has 2 divisors, whose sum is σ = 131023131414. Its totient is φ = 131023131412.

The previous prime is 131023131397. The next prime is 131023131433. The reversal of 131023131413 is 314131320131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65999151409 + 65023980004 = 256903^2 + 254998^2 .

It is a cyclic number.

It is not a de Polignac number, because 131023131413 - 24 = 131023131397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131023131433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65511565706 + 65511565707.

It is an arithmetic number, because the mean of its divisors is an integer number (65511565707).

Almost surely, 2131023131413 is an apocalyptic number.

It is an amenable number.

131023131413 is a deficient number, since it is larger than the sum of its proper divisors (1).

131023131413 is an equidigital number, since it uses as much as digits as its factorization.

131023131413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131023131413 its reverse (314131320131), we get a palindrome (445154451544).

The spelling of 131023131413 in words is "one hundred thirty-one billion, twenty-three million, one hundred thirty-one thousand, four hundred thirteen".