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12313003131 = 33111323313687
BaseRepresentation
bin10110111011110100…
…11000010001111011
31011210010002100221000
423131322120101323
5200204112100011
65353450220043
7614061541212
oct133572302173
934703070830
1012313003131
115249407550
122477724623
131212c66090
1484b418079
154c0e9c356
hex2dde9847b

12313003131 has 64 divisors (see below), whose sum is σ = 21524106240. Its totient is φ = 6858328320.

The previous prime is 12313003093. The next prime is 12313003141. The reversal of 12313003131 is 13130031321.

It is a happy number.

12313003131 is a `hidden beast` number, since 1 + 231 + 300 + 3 + 131 = 666.

It is not a de Polignac number, because 12313003131 - 221 = 12310905979 is a prime.

It is a super-2 number, since 2×123130031312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12313003141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892770 + ... + 906456.

It is an arithmetic number, because the mean of its divisors is an integer number (336314160).

Almost surely, 212313003131 is an apocalyptic number.

12313003131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12313003131 is a deficient number, since it is larger than the sum of its proper divisors (9211103109).

12313003131 is a wasteful number, since it uses less digits than its factorization.

12313003131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13953 (or 13947 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12313003131 its reverse (13130031321), we get a palindrome (25443034452).

It can be divided in two parts, 1 and 2313003131, that added together give a palindrome (2313003132).

The spelling of 12313003131 in words is "twelve billion, three hundred thirteen million, three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 233 297 351 429 699 1287 2097 2563 3029 3861 6291 7689 9087 13687 23067 27261 33319 41061 69201 81783 99957 123183 150557 177931 299871 369549 451671 533793 899613 1355013 1601379 1957241 3189071 4065039 4804137 5871723 9567213 17615169 28701639 35079781 41457923 52845507 86104917 105239343 124373769 315718029 373121307 456037153 947154087 1119363921 1368111459 4104334377 12313003131