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131311130313003 = 3171937298986123
BaseRepresentation
bin11101110110110101000001…
…010001110000000100101011
3122012221012222110000020001220
4131312311001101300010223
5114202400143330004003
61143135300034513123
736441626135402244
oct3566650121600453
9565835873006056
10131311130313003
1138926812873303
1212888b87a357a3
1358367815a2044
14245d6c7a59ccb
15102aa856ee353
hex776d4147012b

131311130313003 has 48 divisors (see below), whose sum is σ = 200553806113920. Its totient is φ = 75945320354304.

The previous prime is 131311130312959. The next prime is 131311130313031. The reversal of 131311130313003 is 300313031113131.

It is not a de Polignac number, because 131311130313003 - 29 = 131311130312491 is a prime.

It is a super-2 number, since 2×1313111303130032 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131311130313073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48166501 + ... + 50819622.

It is an arithmetic number, because the mean of its divisors is an integer number (4178204294040).

Almost surely, 2131311130313003 is an apocalyptic number.

131311130313003 is a deficient number, since it is larger than the sum of its proper divisors (69242675800917).

131311130313003 is a wasteful number, since it uses less digits than its factorization.

131311130313003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98986236 (or 98986199 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 131311130313003 its reverse (300313031113131), we get a palindrome (431624161426134).

The spelling of 131311130313003 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred thirty million, three hundred thirteen thousand, three".

Divisors: 1 3 17 19 37 51 57 111 323 629 703 969 1369 1887 2109 4107 11951 23273 26011 35853 69819 78033 442187 1326561 98986123 296958369 1682764091 1880736337 3662486551 5048292273 5642209011 10987459653 31972517729 62262271367 69587244469 95917553187 135512002387 186786814101 208761733407 406536007161 1182983155973 2303704040579 2574728045353 3548949467919 6911112121737 7724184136059 43770376771001 131311130313003