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13013351351 = 72111321973103
BaseRepresentation
bin11000001111010011…
…11111101110110111
31020120220220202001222
430013221333232313
5203122404220401
65551145140555
7640324442600
oct140751775667
936526822058
1013013351351
115578774530
12263218a75b
1312c5097b00
148b6442da7
155126dcc1b
hex307a7fbb7

13013351351 has 144 divisors (see below), whose sum is σ = 19266474240. Its totient is φ = 8661219840.

The previous prime is 13013351347. The next prime is 13013351357. The reversal of 13013351351 is 15315331031.

It is not a de Polignac number, because 13013351351 - 22 = 13013351347 is a prime.

13013351351 is a modest number, since divided by 351351 gives 13013 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 13013351351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013351357) 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 143 ways as a sum of consecutive naturals, for example, 126343166 + ... + 126343268.

It is an arithmetic number, because the mean of its divisors is an integer number (133794960).

Almost surely, 213013351351 is an apocalyptic number.

13013351351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13013351351 is a deficient number, since it is larger than the sum of its proper divisors (6253122889).

13013351351 is a wasteful number, since it uses less digits than its factorization.

13013351351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 26.

Adding to 13013351351 its reverse (15315331031), we get a palindrome (28328682382).

The spelling of 13013351351 in words is "thirteen billion, thirteen million, three hundred fifty-one thousand, three hundred fifty-one".

Divisors: 1 7 11 13 19 49 73 77 91 103 133 143 169 209 247 511 539 637 721 803 931 949 1001 1133 1183 1339 1387 1463 1729 1859 1957 2717 3211 3577 5047 5621 6643 7007 7519 7931 8281 9373 9709 10241 10439 12103 12337 13013 13699 14729 15257 17407 18031 19019 21527 22477 25441 35321 39347 46501 52633 55517 65611 67963 73073 82709 86359 91091 95893 97747 103103 106799 121849 126217 133133 135707 142861 150689 157339 178087 191477 198341 234403 247247 279851 330733 368431 511511 578963 604513 684229 721721 747593 852943 883519 949949 1000027 1054823 1075217 1246609 1270711 1340339 1388387 1571471 1640821 1730729 1857193 1958957 2315131 2578433 3638063 4052741 4789603 6649643 7000189 7526519 8894977 9382373 9718709 11000297 11485747 13000351 13712699 13977821 16205917 18049031 20429123 24143509 25466441 52685633 62264839 77002079 91002457 97844747 126343217 143003861 169004563 178265087 265578599 684913229 1001027027 1183031941 1859050193 13013351351