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131333133317 is a prime number
BaseRepresentation
bin111101001010000010…
…0001001010000000101
3110112222211110102201212
41322110010021100011
54122432240231232
6140200020501205
712326362133261
oct1722404112005
9415884412655
10131333133317
1150775147a01
122155324a805
13c500140a09
1464dc5730a1
153639deaeb2
hex1e94109405

131333133317 has 2 divisors, whose sum is σ = 131333133318. Its totient is φ = 131333133316.

The previous prime is 131333133301. The next prime is 131333133331. The reversal of 131333133317 is 713331333131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90191501761 + 41141631556 = 300319^2 + 202834^2 .

It is a cyclic number.

It is not a de Polignac number, because 131333133317 - 24 = 131333133301 is a prime.

It is a super-4 number, since 4×1313331333174 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131333133377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65666566658 + 65666566659.

It is an arithmetic number, because the mean of its divisors is an integer number (65666566659).

Almost surely, 2131333133317 is an apocalyptic number.

It is an amenable number.

131333133317 is a deficient number, since it is larger than the sum of its proper divisors (1).

131333133317 is an equidigital number, since it uses as much as digits as its factorization.

131333133317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15309, while the sum is 32.

Adding to 131333133317 its reverse (713331333131), we get a palindrome (844664466448).

The spelling of 131333133317 in words is "one hundred thirty-one billion, three hundred thirty-three million, one hundred thirty-three thousand, three hundred seventeen".