Search a number
-
+
13121101032313 = 173143495724931
BaseRepresentation
bin1011111011101111111010…
…0100001110101101111001
31201110100212002110101011111
42332323332210032231321
53204434003331013223
643523430044000321
72522653054366501
oct276737644165571
951410762411144
1013121101032313
1141a969a51477a
12157ab5a2300a1
13742411cc52a1
143350c9698a01
1517b49b12930d
hexbeefe90eb79

13121101032313 has 16 divisors (see below), whose sum is σ = 14344389619200. Its totient is φ = 11948157907200.

The previous prime is 13121101032301. The next prime is 13121101032337. The reversal of 13121101032313 is 31323010112131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13121101032313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13121101032383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570543 + ... + 5154388.

It is an arithmetic number, because the mean of its divisors is an integer number (896524351200).

Almost surely, 213121101032313 is an apocalyptic number.

It is an amenable number.

13121101032313 is a deficient number, since it is larger than the sum of its proper divisors (1223288586887).

13121101032313 is a wasteful number, since it uses less digits than its factorization.

13121101032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729328.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13121101032313 its reverse (31323010112131), we get a palindrome (44444111144444).

The spelling of 13121101032313 in words is "thirteen trillion, one hundred twenty-one billion, one hundred one million, thirty-two thousand, three hundred thirteen".

Divisors: 1 17 31 527 4349 73933 134819 2291923 5724931 97323827 177472861 3017038637 24897724919 423261323623 771829472489 13121101032313