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131202011313009 = 327133719123994847
BaseRepresentation
bin11101110101001111011001…
…010001110011001101110001
3122012112210022202100200111200
4131311033121101303031301
5114144103204344004014
61143013212200001413
736431014102245030
oct3565173121631561
9565483282320450
10131202011313009
1138894507a5857a
121286b9b4160269
1358293b1778620
1424582d5888717
151027ceab2da09
hex7753d9473371

131202011313009 has 192 divisors, whose sum is σ = 241816326635520. Its totient is φ = 66701534538240.

The previous prime is 131202011312959. The next prime is 131202011313013. The reversal of 131202011313009 is 900313110202131.

131202011313009 is a `hidden beast` number, since 1 + 3 + 1 + 20 + 201 + 131 + 300 + 9 = 666.

It is not a de Polignac number, because 131202011313009 - 27 = 131202011312881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131202011313509) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1383254224 + ... + 1383349070.

It is an arithmetic number, because the mean of its divisors is an integer number (1259460034560).

Almost surely, 2131202011313009 is an apocalyptic number.

It is an amenable number.

131202011313009 is a deficient number, since it is larger than the sum of its proper divisors (110614315322511).

131202011313009 is a wasteful number, since it uses less digits than its factorization.

131202011313009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95340 (or 95337 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 131202011313009 in words is "one hundred thirty-one trillion, two hundred two billion, eleven million, three hundred thirteen thousand, nine".