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131313120233 is a prime number
BaseRepresentation
bin111101001001011011…
…1110011001111101001
3110112221102210122221112
41322102313303033221
54122412124321413
6140154023520105
712326030051141
oct1722267631751
9415842718845
10131313120233
1150764918869
12215485b9035
13c4c8c54659
1464d9a43921
1536382962a8
hex1e92df33e9

131313120233 has 2 divisors, whose sum is σ = 131313120234. Its totient is φ = 131313120232.

The previous prime is 131313120223. The next prime is 131313120251. The reversal of 131313120233 is 332021313131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125958978649 + 5354141584 = 354907^2 + 73172^2 .

It is an emirp because it is prime and its reverse (332021313131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131313120233 - 222 = 131308925929 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131313120199 and 131313120208.

It is not a weakly prime, because it can be changed into another prime (131313120223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656560116 + 65656560117.

It is an arithmetic number, because the mean of its divisors is an integer number (65656560117).

Almost surely, 2131313120233 is an apocalyptic number.

It is an amenable number.

131313120233 is a deficient number, since it is larger than the sum of its proper divisors (1).

131313120233 is an equidigital number, since it uses as much as digits as its factorization.

131313120233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 131313120233 its reverse (332021313131), we get a palindrome (463334433364).

The spelling of 131313120233 in words is "one hundred thirty-one billion, three hundred thirteen million, one hundred twenty thousand, two hundred thirty-three".