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13120342330313 = 2918122311208919
BaseRepresentation
bin1011111011101101000101…
…0110000000101111001001
31201110021220012211022200102
42332323101112000233021
53204430430114032223
643523222502215145
72522625212465351
oct276732126005711
951407805738612
1013120342330313
1141a9340220729
12157a9881244b5
13742320a719aa
143350569ddb61
1517b45470d928
hexbeed1580bc9

13120342330313 has 16 divisors (see below), whose sum is σ = 13708957516800. Its totient is φ = 12541434171840.

The previous prime is 13120342330307. The next prime is 13120342330331. The reversal of 13120342330313 is 31303324302131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13120342330313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13120342330343) 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 in 15 ways as a sum of consecutive naturals, for example, 4433933 + ... + 6774986.

It is an arithmetic number, because the mean of its divisors is an integer number (856809844800).

Almost surely, 213120342330313 is an apocalyptic number.

It is an amenable number.

13120342330313 is a deficient number, since it is larger than the sum of its proper divisors (588615186487).

13120342330313 is a wasteful number, since it uses less digits than its factorization.

13120342330313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209352.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 13120342330313 its reverse (31303324302131), we get a palindrome (44423666632444).

The spelling of 13120342330313 in words is "thirteen trillion, one hundred twenty billion, three hundred forty-two million, three hundred thirty thousand, three hundred thirteen".

Divisors: 1 29 181 223 5249 6467 40363 1170527 11208919 325058651 2028814339 2499588937 58835615831 72488079173 452425597597 13120342330313