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13130313303 = 321173928069
BaseRepresentation
bin11000011101010000…
…01010111001010111
31020220002000000201010
430032220022321113
5203342330011203
610010524103303
7643244551542
oct141650127127
936802000633
1013130313303
1156287a07a8
122665394b33
131313399c73
148c7bab859
1551cae3303
hex30ea0ae57

13130313303 has 16 divisors (see below), whose sum is σ = 17614486400. Its totient is φ = 8699957280.

The previous prime is 13130313277. The next prime is 13130313349. The reversal of 13130313303 is 30331303131.

13130313303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13130313303 - 25 = 13130313271 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13130313303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130313373) 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 15 ways as a sum of consecutive naturals, for example, 453753 + ... + 481821.

It is an arithmetic number, because the mean of its divisors is an integer number (1100905400).

Almost surely, 213130313303 is an apocalyptic number.

13130313303 is a deficient number, since it is larger than the sum of its proper divisors (4484173097).

13130313303 is a wasteful number, since it uses less digits than its factorization.

13130313303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29022.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 13130313303 its reverse (30331303131), we get a palindrome (43461616434).

The spelling of 13130313303 in words is "thirteen billion, one hundred thirty million, three hundred thirteen thousand, three hundred three".

Divisors: 1 3 211 633 739 2217 28069 84207 155929 467787 5922559 17767677 20742991 62228973 4376771101 13130313303