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1311831183097 is a prime number
BaseRepresentation
bin10011000101101111001…
…110110100111011111001
311122102001202210211022201
4103011233032310323321
5132443112240324342
62442351422550201
7163530254034511
oct23055716647371
94572052724281
101311831183097
1146638755a166
121922a9738361
13969222a22b6
14476c89c0841
15241cc94adb7
hex1316f3b4ef9

1311831183097 has 2 divisors, whose sum is σ = 1311831183098. Its totient is φ = 1311831183096.

The previous prime is 1311831183071. The next prime is 1311831183149. The reversal of 1311831183097 is 7903811381131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1223101071721 + 88730111376 = 1105939^2 + 297876^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311831183097 - 231 = 1309683699449 is a prime.

It is a super-3 number, since 3×13118311830973 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1311831183497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655915591548 + 655915591549.

It is an arithmetic number, because the mean of its divisors is an integer number (655915591549).

Almost surely, 21311831183097 is an apocalyptic number.

It is an amenable number.

1311831183097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311831183097 is an equidigital number, since it uses as much as digits as its factorization.

1311831183097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 46.

The spelling of 1311831183097 in words is "one trillion, three hundred eleven billion, eight hundred thirty-one million, one hundred eighty-three thousand, ninety-seven".