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131313231013 is a prime number
BaseRepresentation
bin111101001001011100…
…0001110010010100101
3110112221110000021220111
41322102320032102211
54122412141343023
6140154030133021
712326031022126
oct1722270162245
9415843007814
10131313231013
1150764994018
1221548651171
13c4c8c92bc3
1464d9a7204d
1536382b900d
hex1e92e0e4a5

131313231013 has 2 divisors, whose sum is σ = 131313231014. Its totient is φ = 131313231012.

The previous prime is 131313231001. The next prime is 131313231031. The reversal of 131313231013 is 310132313131.

Together with next prime (131313231031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91232390209 + 40080840804 = 302047^2 + 200202^2 .

It is a cyclic number.

It is not a de Polignac number, because 131313231013 - 225 = 131279676581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131343231013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656615506 + 65656615507.

It is an arithmetic number, because the mean of its divisors is an integer number (65656615507).

Almost surely, 2131313231013 is an apocalyptic number.

It is an amenable number.

131313231013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131313231013 is an equidigital number, since it uses as much as digits as its factorization.

131313231013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131313231013 its reverse (310132313131), we get a palindrome (441445544144).

The spelling of 131313231013 in words is "one hundred thirty-one billion, three hundred thirteen million, two hundred thirty-one thousand, thirteen".