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131311130313103 = 1347607354055739
BaseRepresentation
bin11101110110110101000001…
…010001110000000110001111
3122012221012222110000020012121
4131312311001101300012033
5114202400143330004403
61143135300034513411
736441626135402446
oct3566650121600617
9565835873006177
10131311130313103
1138926812873394
1212888b87a35867
1358367815a20c0
14245d6c7a59d5d
15102aa856ee3bd
hex776d4147018f

131311130313103 has 16 divisors (see below), whose sum is σ = 144658678026240. Its totient is φ = 118435893029856.

The previous prime is 131311130313089. The next prime is 131311130313131. The reversal of 131311130313103 is 301313031113131.

It is a cyclic number.

It is not a de Polignac number, because 131311130313103 - 241 = 129112107057551 is a prime.

It is a super-2 number, since 2×1313111303131032 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311130313133) 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 15 ways as a sum of consecutive naturals, for example, 176656993 + ... + 177398746.

It is an arithmetic number, because the mean of its divisors is an integer number (9041167376640).

Almost surely, 2131311130313103 is an apocalyptic number.

131311130313103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131311130313103 is a deficient number, since it is larger than the sum of its proper divisors (13347547713137).

131311130313103 is a wasteful number, since it uses less digits than its factorization.

131311130313103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354056406.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 131311130313103 its reverse (301313031113131), we get a palindrome (432624161426234).

The spelling of 131311130313103 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred thirty million, three hundred thirteen thousand, one hundred three".

Divisors: 1 13 47 607 611 7891 28529 370877 354055739 4602724607 16640619733 214911833573 216328056529 2793853836449 10100856177931 131311130313103