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130331122113133 is a prime number
BaseRepresentation
bin11101101000100100010100…
…001111001001101001101101
3122002110112101222200110201201
4131220210110033021221231
5114040321114230110013
61141105142502005501
736311053463215624
oct3550442417115155
9562415358613651
10130331122113133
1138589133786787
121274b065116891
13579523109ca46
1424280ba7a26bb
1510103291343dd
hex7689143c9a6d

130331122113133 has 2 divisors, whose sum is σ = 130331122113134. Its totient is φ = 130331122113132.

The previous prime is 130331122113089. The next prime is 130331122113149. The reversal of 130331122113133 is 331311221133031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101930770789929 + 28400351323204 = 10096077^2 + 5329198^2 .

It is a cyclic number.

It is not a de Polignac number, because 130331122113133 - 221 = 130331120015981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130331122113193) 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, 65165561056566 + 65165561056567.

It is an arithmetic number, because the mean of its divisors is an integer number (65165561056567).

Almost surely, 2130331122113133 is an apocalyptic number.

It is an amenable number.

130331122113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

130331122113133 is an equidigital number, since it uses as much as digits as its factorization.

130331122113133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 130331122113133 its reverse (331311221133031), we get a palindrome (461642343246164).

The spelling of 130331122113133 in words is "one hundred thirty trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred thirty-three".