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13325442013 = 131935311057
BaseRepresentation
bin11000110100100001…
…00001101111011101
31021101200011120222101
430122100201233131
5204242303121023
610042134245101
7651134250112
oct143220415735
937350146871
1013325442013
1157189568a4
1226ba7b6791
131344939c40
14905a82909
1552ecd91ad
hex31a421bdd

13325442013 has 8 divisors (see below), whose sum is σ = 14424833528. Its totient is φ = 12236673024.

The previous prime is 13325441953. The next prime is 13325442017. The reversal of 13325442013 is 31024452331.

It is a happy number.

13325442013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 47127-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 188156089 + 13137285924 = 13717^2 + 114618^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13325442013 - 29 = 13325441501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13325442017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2653020 + ... + 2658037.

It is an arithmetic number, because the mean of its divisors is an integer number (1803104191).

Almost surely, 213325442013 is an apocalyptic number.

13325442013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13325442013 is a deficient number, since it is larger than the sum of its proper divisors (1099391515).

13325442013 is a wasteful number, since it uses less digits than its factorization.

13325442013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311263.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 13325442013 its reverse (31024452331), we get a palindrome (44349894344).

The spelling of 13325442013 in words is "thirteen billion, three hundred twenty-five million, four hundred forty-two thousand, thirteen".

Divisors: 1 13 193 2509 5311057 69043741 1025034001 13325442013