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13130303013213 = 367349263371089
BaseRepresentation
bin1011111100010010001100…
…0011000000000101011101
31201111020121101121102212220
42333010203003000011131
53210111330032410323
643531551122215553
72523430102055241
oct277044303000535
951436541542786
1013130303013213
114202591821171
1215808a7ab45b9
1374324a5743b9
1433571d84a421
1517b838e020e3
hexbf1230c015d

13130303013213 has 32 divisors (see below), whose sum is σ = 17826300912000. Its totient is φ = 8594791704576.

The previous prime is 13130303013187. The next prime is 13130303013239. The reversal of 13130303013213 is 31231030303131.

It is an interprime number because it is at equal distance from previous prime (13130303013187) and next prime (13130303013239).

It is not a de Polignac number, because 13130303013213 - 226 = 13130235904349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130303013263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184666773 + ... + 184737861.

It is an arithmetic number, because the mean of its divisors is an integer number (557071903500).

Almost surely, 213130303013213 is an apocalyptic number.

It is an amenable number.

13130303013213 is a deficient number, since it is larger than the sum of its proper divisors (4695997898787).

13130303013213 is a wasteful number, since it uses less digits than its factorization.

13130303013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74141.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13130303013213 its reverse (31231030303131), we get a palindrome (44361333316344).

The spelling of 13130303013213 in words is "thirteen trillion, one hundred thirty billion, three hundred three million, thirteen thousand, two hundred thirteen".

Divisors: 1 3 67 201 349 1047 2633 7899 23383 70149 71089 176411 213267 529233 918917 2756751 4762963 14288889 24810061 61567439 74430183 184702317 187177337 561532011 1662274087 4986822261 12540881579 37622644737 65324890613 195974671839 4376767671071 13130303013213